What is the Greatest Common Factor of 22442 and 22456?

Greatest common factor (GCF) of 22442 and 22456 is 14.

GCF(22442,22456) = 14

We will now calculate the prime factors of 22442 and 22456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22442 and 22456.

How to find the GCF of 22442 and 22456?

We will first find the prime factorization of 22442 and 22456. After we will calculate the factors of 22442 and 22456 and find the biggest common factor number .

Step-1: Prime Factorization of 22442

Prime factors of 22442 are 2, 7, 229. Prime factorization of 22442 in exponential form is:

22442 = 2¹ × 7² × 229¹

Step-2: Prime Factorization of 22456

Prime factors of 22456 are 2, 7, 401. Prime factorization of 22456 in exponential form is:

22456 = 2³ × 7¹ × 401¹

Step-3: Factors of 22442

List of positive integer factors of 22442 that divides 22442 without a remainder.

1, 2, 7, 14, 49, 98, 229, 458, 1603, 3206, 11221

Step-4: Factors of 22456

List of positive integer factors of 22456 that divides 22442 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 401, 802, 1604, 2807, 3208, 5614, 11228

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22442 and 22456. The biggest common factor number is the GCF number.
So the greatest common factor 22442 and 22456 is 14.

Also check out the Least Common Multiple of 22442 and 22456