What is the Greatest Common Factor of 22102 and 22122?

Greatest common factor (GCF) of 22102 and 22122 is 2.

GCF(22102,22122) = 2

We will now calculate the prime factors of 22102 and 22122, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22102 and 22122.

How to find the GCF of 22102 and 22122?

We will first find the prime factorization of 22102 and 22122. After we will calculate the factors of 22102 and 22122 and find the biggest common factor number .

Step-1: Prime Factorization of 22102

Prime factors of 22102 are 2, 43, 257. Prime factorization of 22102 in exponential form is:

22102 = 2¹ × 43¹ × 257¹

Step-2: 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-3: Factors of 22102

List of positive integer factors of 22102 that divides 22102 without a remainder.

1, 2, 43, 86, 257, 514, 11051

Step-4: Factors of 22122

List of positive integer factors of 22122 that divides 22102 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22102 and 22122. The biggest common factor number is the GCF number.
So the greatest common factor 22102 and 22122 is 2.

Also check out the Least Common Multiple of 22102 and 22122