What is the Greatest Common Factor of 32564 and 32568?

Greatest common factor (GCF) of 32564 and 32568 is 4.

GCF(32564,32568) = 4

We will now calculate the prime factors of 32564 and 32568, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32564 and 32568.

How to find the GCF of 32564 and 32568?

We will first find the prime factorization of 32564 and 32568. After we will calculate the factors of 32564 and 32568 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 32568

Prime factors of 32568 are 2, 3, 23, 59. Prime factorization of 32568 in exponential form is:

32568 = 2³ × 3¹ × 23¹ × 59¹

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 32568

List of positive integer factors of 32568 that divides 32564 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 59, 69, 92, 118, 138, 177, 184, 236, 276, 354, 472, 552, 708, 1357, 1416, 2714, 4071, 5428, 8142, 10856, 16284

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32564 and 32568. The biggest common factor number is the GCF number.
So the greatest common factor 32564 and 32568 is 4.

Also check out the Least Common Multiple of 32564 and 32568