What is the Greatest Common Factor of 32496 and 32502?

Greatest common factor (GCF) of 32496 and 32502 is 6.

GCF(32496,32502) = 6

We will now calculate the prime factors of 32496 and 32502, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32496 and 32502.

How to find the GCF of 32496 and 32502?

We will first find the prime factorization of 32496 and 32502. After we will calculate the factors of 32496 and 32502 and find the biggest common factor number .

Step-1: Prime Factorization of 32496

Prime factors of 32496 are 2, 3, 677. Prime factorization of 32496 in exponential form is:

32496 = 2⁴ × 3¹ × 677¹

Step-2: Prime Factorization of 32502

Prime factors of 32502 are 2, 3, 5417. Prime factorization of 32502 in exponential form is:

32502 = 2¹ × 3¹ × 5417¹

Step-3: Factors of 32496

List of positive integer factors of 32496 that divides 32496 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 677, 1354, 2031, 2708, 4062, 5416, 8124, 10832, 16248

Step-4: Factors of 32502

List of positive integer factors of 32502 that divides 32496 without a remainder.

1, 2, 3, 6, 5417, 10834, 16251

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32496 and 32502. The biggest common factor number is the GCF number.
So the greatest common factor 32496 and 32502 is 6.

Also check out the Least Common Multiple of 32496 and 32502