What is the Greatest Common Factor of 88498 and 88502?

Greatest common factor (GCF) of 88498 and 88502 is 2.

GCF(88498,88502) = 2

We will now calculate the prime factors of 88498 and 88502, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88498 and 88502.

How to find the GCF of 88498 and 88502?

We will first find the prime factorization of 88498 and 88502. After we will calculate the factors of 88498 and 88502 and find the biggest common factor number .

Step-1: Prime Factorization of 88498

Prime factors of 88498 are 2, 44249. Prime factorization of 88498 in exponential form is:

88498 = 2¹ × 44249¹

Step-2: Prime Factorization of 88502

Prime factors of 88502 are 2, 17, 19, 137. Prime factorization of 88502 in exponential form is:

88502 = 2¹ × 17¹ × 19¹ × 137¹

Step-3: Factors of 88498

List of positive integer factors of 88498 that divides 88498 without a remainder.

1, 2, 44249

Step-4: Factors of 88502

List of positive integer factors of 88502 that divides 88498 without a remainder.

1, 2, 17, 19, 34, 38, 137, 274, 323, 646, 2329, 2603, 4658, 5206, 44251

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88498 and 88502. The biggest common factor number is the GCF number.
So the greatest common factor 88498 and 88502 is 2.

Also check out the Least Common Multiple of 88498 and 88502