What is the Greatest Common Factor of 88496 and 88502?

Greatest common factor (GCF) of 88496 and 88502 is 2.

GCF(88496,88502) = 2

We will now calculate the prime factors of 88496 and 88502, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88496 and 88502.

How to find the GCF of 88496 and 88502?

We will first find the prime factorization of 88496 and 88502. After we will calculate the factors of 88496 and 88502 and find the biggest common factor number .

Step-1: Prime Factorization of 88496

Prime factors of 88496 are 2, 5531. Prime factorization of 88496 in exponential form is:

88496 = 2⁴ × 5531¹

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 88496

List of positive integer factors of 88496 that divides 88496 without a remainder.

1, 2, 4, 8, 16, 5531, 11062, 22124, 44248

Step-4: Factors of 88502

List of positive integer factors of 88502 that divides 88496 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 88496 and 88502. The biggest common factor number is the GCF number.
So the greatest common factor 88496 and 88502 is 2.

Also check out the Least Common Multiple of 88496 and 88502