What is the Greatest Common Factor of 22260 and 22264?

Greatest common factor (GCF) of 22260 and 22264 is 4.

GCF(22260,22264) = 4

We will now calculate the prime factors of 22260 and 22264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22260 and 22264.

How to find the GCF of 22260 and 22264?

We will first find the prime factorization of 22260 and 22264. After we will calculate the factors of 22260 and 22264 and find the biggest common factor number .

Step-1: Prime Factorization of 22260

Prime factors of 22260 are 2, 3, 5, 7, 53. Prime factorization of 22260 in exponential form is:

22260 = 2² × 3¹ × 5¹ × 7¹ × 53¹

Step-2: Prime Factorization of 22264

Prime factors of 22264 are 2, 11, 23. Prime factorization of 22264 in exponential form is:

22264 = 2³ × 11² × 23¹

Step-3: Factors of 22260

List of positive integer factors of 22260 that divides 22260 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 53, 60, 70, 84, 105, 106, 140, 159, 210, 212, 265, 318, 371, 420, 530, 636, 742, 795, 1060, 1113, 1484, 1590, 1855, 2226, 3180, 3710, 4452, 5565, 7420, 11130

Step-4: Factors of 22264

List of positive integer factors of 22264 that divides 22260 without a remainder.

1, 2, 4, 8, 11, 22, 23, 44, 46, 88, 92, 121, 184, 242, 253, 484, 506, 968, 1012, 2024, 2783, 5566, 11132

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22260 and 22264. The biggest common factor number is the GCF number.
So the greatest common factor 22260 and 22264 is 4.

Also check out the Least Common Multiple of 22260 and 22264