What is the Greatest Common Factor of 22546 and 22564?

Greatest common factor (GCF) of 22546 and 22564 is 2.

GCF(22546,22564) = 2

We will now calculate the prime factors of 22546 and 22564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22546 and 22564.

How to find the GCF of 22546 and 22564?

We will first find the prime factorization of 22546 and 22564. After we will calculate the factors of 22546 and 22564 and find the biggest common factor number .

Step-1: Prime Factorization of 22546

Prime factors of 22546 are 2, 11273. Prime factorization of 22546 in exponential form is:

22546 = 2¹ × 11273¹

Step-2: Prime Factorization of 22564

Prime factors of 22564 are 2, 5641. Prime factorization of 22564 in exponential form is:

22564 = 2² × 5641¹

Step-3: Factors of 22546

List of positive integer factors of 22546 that divides 22546 without a remainder.

1, 2, 11273

Step-4: Factors of 22564

List of positive integer factors of 22564 that divides 22546 without a remainder.

1, 2, 4, 5641, 11282

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22546 and 22564. The biggest common factor number is the GCF number.
So the greatest common factor 22546 and 22564 is 2.

Also check out the Least Common Multiple of 22546 and 22564