What is the Greatest Common Factor of 22114 and 22120?

Greatest common factor (GCF) of 22114 and 22120 is 2.

GCF(22114,22120) = 2

We will now calculate the prime factors of 22114 and 22120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22114 and 22120.

How to find the GCF of 22114 and 22120?

We will first find the prime factorization of 22114 and 22120. After we will calculate the factors of 22114 and 22120 and find the biggest common factor number .

Step-1: Prime Factorization of 22114

Prime factors of 22114 are 2, 11057. Prime factorization of 22114 in exponential form is:

22114 = 2¹ × 11057¹

Step-2: 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-3: Factors of 22114

List of positive integer factors of 22114 that divides 22114 without a remainder.

1, 2, 11057

Step-4: Factors of 22120

List of positive integer factors of 22120 that divides 22114 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22114 and 22120. The biggest common factor number is the GCF number.
So the greatest common factor 22114 and 22120 is 2.

Also check out the Least Common Multiple of 22114 and 22120