What is the Greatest Common Factor of 22561 and 22572?

Greatest common factor (GCF) of 22561 and 22572 is 11.

GCF(22561,22572) = 11

We will now calculate the prime factors of 22561 and 22572, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22561 and 22572.

How to find the GCF of 22561 and 22572?

We will first find the prime factorization of 22561 and 22572. After we will calculate the factors of 22561 and 22572 and find the biggest common factor number .

Step-1: Prime Factorization of 22561

Prime factors of 22561 are 7, 11, 293. Prime factorization of 22561 in exponential form is:

22561 = 7¹ × 11¹ × 293¹

Step-2: Prime Factorization of 22572

Prime factors of 22572 are 2, 3, 11, 19. Prime factorization of 22572 in exponential form is:

22572 = 2² × 3³ × 11¹ × 19¹

Step-3: Factors of 22561

List of positive integer factors of 22561 that divides 22561 without a remainder.

1, 7, 11, 77, 293, 2051, 3223

Step-4: Factors of 22572

List of positive integer factors of 22572 that divides 22561 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 19, 22, 27, 33, 36, 38, 44, 54, 57, 66, 76, 99, 108, 114, 132, 171, 198, 209, 228, 297, 342, 396, 418, 513, 594, 627, 684, 836, 1026, 1188, 1254, 1881, 2052, 2508, 3762, 5643, 7524, 11286

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22561 and 22572. The biggest common factor number is the GCF number.
So the greatest common factor 22561 and 22572 is 11.

Also check out the Least Common Multiple of 22561 and 22572