What is the Greatest Common Factor of 32564 and 32576?

Greatest common factor (GCF) of 32564 and 32576 is 4.

GCF(32564,32576) = 4

We will now calculate the prime factors of 32564 and 32576, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32564 and 32576.

How to find the GCF of 32564 and 32576?

We will first find the prime factorization of 32564 and 32576. After we will calculate the factors of 32564 and 32576 and find the biggest common factor number .

Step-1: Prime Factorization of 32564

Prime factors of 32564 are 2, 7, 1163. Prime factorization of 32564 in exponential form is:

32564 = 2² × 7¹ × 1163¹

Step-2: Prime Factorization of 32576

Prime factors of 32576 are 2, 509. Prime factorization of 32576 in exponential form is:

32576 = 2⁶ × 509¹

Step-3: Factors of 32564

List of positive integer factors of 32564 that divides 32564 without a remainder.

1, 2, 4, 7, 14, 28, 1163, 2326, 4652, 8141, 16282

Step-4: Factors of 32576

List of positive integer factors of 32576 that divides 32564 without a remainder.

1, 2, 4, 8, 16, 32, 64, 509, 1018, 2036, 4072, 8144, 16288

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32564 and 32576. The biggest common factor number is the GCF number.
So the greatest common factor 32564 and 32576 is 4.

Also check out the Least Common Multiple of 32564 and 32576