What is the Greatest Common Factor of 22122 and 22126?

Greatest common factor (GCF) of 22122 and 22126 is 2.

GCF(22122,22126) = 2

We will now calculate the prime factors of 22122 and 22126, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22122 and 22126.

How to find the GCF of 22122 and 22126?

We will first find the prime factorization of 22122 and 22126. After we will calculate the factors of 22122 and 22126 and find the biggest common factor number .

Step-1: Prime Factorization of 22122

Prime factors of 22122 are 2, 3, 1229. Prime factorization of 22122 in exponential form is:

22122 = 2¹ × 3² × 1229¹

Step-2: Prime Factorization of 22126

Prime factors of 22126 are 2, 13, 23, 37. Prime factorization of 22126 in exponential form is:

22126 = 2¹ × 13¹ × 23¹ × 37¹

Step-3: Factors of 22122

List of positive integer factors of 22122 that divides 22122 without a remainder.

1, 2, 3, 6, 9, 18, 1229, 2458, 3687, 7374, 11061

Step-4: Factors of 22126

List of positive integer factors of 22126 that divides 22122 without a remainder.

1, 2, 13, 23, 26, 37, 46, 74, 299, 481, 598, 851, 962, 1702, 11063

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22122 and 22126. The biggest common factor number is the GCF number.
So the greatest common factor 22122 and 22126 is 2.

Also check out the Least Common Multiple of 22122 and 22126