What is the Greatest Common Factor of 22120 and 22127?

Greatest common factor (GCF) of 22120 and 22127 is 7.

GCF(22120,22127) = 7

We will now calculate the prime factors of 22120 and 22127, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22120 and 22127.

How to find the GCF of 22120 and 22127?

We will first find the prime factorization of 22120 and 22127. After we will calculate the factors of 22120 and 22127 and find the biggest common factor number .

Step-1: Prime Factorization of 22120

Prime factors of 22120 are 2, 5, 7, 79. Prime factorization of 22120 in exponential form is:

22120 = 2³ × 5¹ × 7¹ × 79¹

Step-2: Prime Factorization of 22127

Prime factors of 22127 are 7, 29, 109. Prime factorization of 22127 in exponential form is:

22127 = 7¹ × 29¹ × 109¹

Step-3: Factors of 22120

List of positive integer factors of 22120 that divides 22120 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 79, 140, 158, 280, 316, 395, 553, 632, 790, 1106, 1580, 2212, 2765, 3160, 4424, 5530, 11060

Step-4: Factors of 22127

List of positive integer factors of 22127 that divides 22120 without a remainder.

1, 7, 29, 109, 203, 763, 3161

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22120 and 22127. The biggest common factor number is the GCF number.
So the greatest common factor 22120 and 22127 is 7.

Also check out the Least Common Multiple of 22120 and 22127