What is the Greatest Common Factor of 32496 and 32510?

Greatest common factor (GCF) of 32496 and 32510 is 2.

GCF(32496,32510) = 2

We will now calculate the prime factors of 32496 and 32510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32496 and 32510.

How to find the GCF of 32496 and 32510?

We will first find the prime factorization of 32496 and 32510. After we will calculate the factors of 32496 and 32510 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 32510

Prime factors of 32510 are 2, 5, 3251. Prime factorization of 32510 in exponential form is:

32510 = 2¹ × 5¹ × 3251¹

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 32510

List of positive integer factors of 32510 that divides 32496 without a remainder.

1, 2, 5, 10, 3251, 6502, 16255

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32496 and 32510. The biggest common factor number is the GCF number.
So the greatest common factor 32496 and 32510 is 2.

Also check out the Least Common Multiple of 32496 and 32510