What is the Greatest Common Factor of 22528 and 22548?

Greatest common factor (GCF) of 22528 and 22548 is 4.

GCF(22528,22548) = 4

We will now calculate the prime factors of 22528 and 22548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22528 and 22548.

How to find the GCF of 22528 and 22548?

We will first find the prime factorization of 22528 and 22548. After we will calculate the factors of 22528 and 22548 and find the biggest common factor number .

Step-1: Prime Factorization of 22528

Prime factors of 22528 are 2, 11. Prime factorization of 22528 in exponential form is:

22528 = 2¹¹ × 11¹

Step-2: Prime Factorization of 22548

Prime factors of 22548 are 2, 3, 1879. Prime factorization of 22548 in exponential form is:

22548 = 2² × 3¹ × 1879¹

Step-3: Factors of 22528

List of positive integer factors of 22528 that divides 22528 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 128, 176, 256, 352, 512, 704, 1024, 1408, 2048, 2816, 5632, 11264

Step-4: Factors of 22548

List of positive integer factors of 22548 that divides 22528 without a remainder.

1, 2, 3, 4, 6, 12, 1879, 3758, 5637, 7516, 11274

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22528 and 22548. The biggest common factor number is the GCF number.
So the greatest common factor 22528 and 22548 is 4.

Also check out the Least Common Multiple of 22528 and 22548