What is the Greatest Common Factor of 82495 and 82502?

Greatest common factor (GCF) of 82495 and 82502 is 7.

GCF(82495,82502) = 7

We will now calculate the prime factors of 82495 and 82502, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82495 and 82502.

How to find the GCF of 82495 and 82502?

We will first find the prime factorization of 82495 and 82502. After we will calculate the factors of 82495 and 82502 and find the biggest common factor number .

Step-1: Prime Factorization of 82495

Prime factors of 82495 are 5, 7, 2357. Prime factorization of 82495 in exponential form is:

82495 = 5¹ × 7¹ × 2357¹

Step-2: Prime Factorization of 82502

Prime factors of 82502 are 2, 7, 71, 83. Prime factorization of 82502 in exponential form is:

82502 = 2¹ × 7¹ × 71¹ × 83¹

Step-3: Factors of 82495

List of positive integer factors of 82495 that divides 82495 without a remainder.

1, 5, 7, 35, 2357, 11785, 16499

Step-4: Factors of 82502

List of positive integer factors of 82502 that divides 82495 without a remainder.

1, 2, 7, 14, 71, 83, 142, 166, 497, 581, 994, 1162, 5893, 11786, 41251

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82495 and 82502. The biggest common factor number is the GCF number.
So the greatest common factor 82495 and 82502 is 7.

Also check out the Least Common Multiple of 82495 and 82502