What is the Greatest Common Factor of 22442 and 22454?

Greatest common factor (GCF) of 22442 and 22454 is 2.

GCF(22442,22454) = 2

We will now calculate the prime factors of 22442 and 22454, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22442 and 22454.

How to find the GCF of 22442 and 22454?

We will first find the prime factorization of 22442 and 22454. After we will calculate the factors of 22442 and 22454 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 22454

Prime factors of 22454 are 2, 103, 109. Prime factorization of 22454 in exponential form is:

22454 = 2¹ × 103¹ × 109¹

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 22454

List of positive integer factors of 22454 that divides 22442 without a remainder.

1, 2, 103, 109, 206, 218, 11227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22442 and 22454. The biggest common factor number is the GCF number.
So the greatest common factor 22442 and 22454 is 2.

Also check out the Least Common Multiple of 22442 and 22454