Your 2002 F-250 has either a Dana 50 or a Dana 60 front axle. 2002 is the model year Ford changed from the Dana 50 to the Dana 60 during the model year. So the first step is to determine which axle you have. One way is to read the tag on the axle, then figure out what the codes mean.
After you know whether you have a Dana 50 or a Dana 60, then you can buy the new ring gear and pinion kit from
Randy's Ring & Pinion.
Here are the specs from the 2002 Ford F-250 workshop manual:
SECTION 205-03: Front Drive Axle/Differential
2002 F-Super Duty/Excursion Workshop Manual
SPECIFICATIONS
--------------------------------------------------------------------------------
(notice the words in the following window scroll left to right as well as up and down)
Code:
General Specifications
Item Specification
Lubricants and Sealants
SAE 90 Premium Rear Axle Lubricant C2AZ-19580-F ESW-M2C105-A
High Temperature 4x4 Front Axle and Wheel Bearing Grease E8TZ-19590-A ESA-M1C198-A
Clear Silicone Rubber D6AZ-19562-AA ESB-M4G92-A or ESE-M4G195-A
Lubricant Fill Level Checks
Item Specification
Axle lubricant 2.8 liters (5.9 pints)
Backlash Specifications
Item Specification
Backlash between ring gear and pinion 0.13-0.20 mm (0.005-0.008 in)
Maximum ring gear backlash variation 0.05 mm (0.002 in)
Rotational Torque Ranges
Item Specification
Pinion bearing preload 1.7-3.4 Nm (15-30 lb-in)
a Never back off the pinion nut to reduce preload. If preload reduction is
necessary, install a new collapsible spacer and pinion nut.
b Take frequent pinion bearing torque preload readings.
c For new pinion bearing installation, tighten the pinion nut to a rotating
torque of 1.7-3.4 Nm (15-30 lb-in) (217-678 Nm [160-500 lb-ft]).
d For original pinion bearing installation, the reading must be 0.56 Nm
(5 lb-in) more than the initial reading taken during the disassembly
procedure.
Torque Specifications
Description Nm lb-ft
Pinion nut a b c d 217-678 160-500
Bolt retaining the front driveshaft to the front axle flange 35 26
Nut retaining the u-bolt to the axle 133 99
Nut and bolt retaining the trackbar to the axle 174 129
Bolt retaining the stabilizer bar bracket to the axle 47 35
Bolt retaining the differential bearing cap to the differential housing 109 80
Bolt retaining the differential housing cover to the differential housing 47 35
Bolt retaining the ring gear to the differential case (model 50) 136 100
Bolt retaining the ring gear to the differential case (model 60) 183 135
Fill plug 27 20
a Never back off the pinion nut to reduce preload. If preload
reduction is necessary, install a new collapsible spacer and pinion
nut.
b Take frequent pinion bearing torque preload readings.
c For new pinion bearing installation on model 50 and 60 axles,
tighten the pinion nut to a rotating torque of 1.7-3.4 Nm
(15-30 lb-in) (217-678 Nm [160-500 lb-ft]).
d For original pinion bearing installation, the reading must be
0.56 Nm (5 lb-in) more than the initial reading taken during the
disassembly procedure
I will e-mail a recent-version Word document that contains the workshop manual pages for assembly and disassembly of the front axle. So check your e-mail. It's way too long and complicated to try to copy it over to this editor, plus the illustrations won't copy over.