What is the Greatest Common Factor of 32496 and 32513?

Greatest common factor (GCF) of 32496 and 32513 is 1.

GCF(32496,32513) = 1

We will now calculate the prime factors of 32496 and 32513, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32496 and 32513.

How to find the GCF of 32496 and 32513?

We will first find the prime factorization of 32496 and 32513. After we will calculate the factors of 32496 and 32513 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 32513

Prime factors of 32513 are 13, 41, 61. Prime factorization of 32513 in exponential form is:

32513 = 13¹ × 41¹ × 61¹

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 32513

List of positive integer factors of 32513 that divides 32496 without a remainder.

1, 13, 41, 61, 533, 793, 2501

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32496 and 32513. The biggest common factor number is the GCF number.
So the greatest common factor 32496 and 32513 is 1.

Also check out the Least Common Multiple of 32496 and 32513