What is the Greatest Common Factor of 32554 and 32564?

Greatest common factor (GCF) of 32554 and 32564 is 2.

GCF(32554,32564) = 2

We will now calculate the prime factors of 32554 and 32564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32554 and 32564.

How to find the GCF of 32554 and 32564?

We will first find the prime factorization of 32554 and 32564. After we will calculate the factors of 32554 and 32564 and find the biggest common factor number .

Step-1: Prime Factorization of 32554

Prime factors of 32554 are 2, 41, 397. Prime factorization of 32554 in exponential form is:

32554 = 2¹ × 41¹ × 397¹

Step-2: 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-3: Factors of 32554

List of positive integer factors of 32554 that divides 32554 without a remainder.

1, 2, 41, 82, 397, 794, 16277

Step-4: Factors of 32564

List of positive integer factors of 32564 that divides 32554 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32554 and 32564. The biggest common factor number is the GCF number.
So the greatest common factor 32554 and 32564 is 2.

Also check out the Least Common Multiple of 32554 and 32564