What is the Greatest Common Factor of 22972 and 22978?

Greatest common factor (GCF) of 22972 and 22978 is 2.

GCF(22972,22978) = 2

We will now calculate the prime factors of 22972 and 22978, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22972 and 22978.

How to find the GCF of 22972 and 22978?

We will first find the prime factorization of 22972 and 22978. After we will calculate the factors of 22972 and 22978 and find the biggest common factor number .

Step-1: Prime Factorization of 22972

Prime factors of 22972 are 2, 5743. Prime factorization of 22972 in exponential form is:

22972 = 2² × 5743¹

Step-2: Prime Factorization of 22978

Prime factors of 22978 are 2, 11489. Prime factorization of 22978 in exponential form is:

22978 = 2¹ × 11489¹

Step-3: Factors of 22972

List of positive integer factors of 22972 that divides 22972 without a remainder.

1, 2, 4, 5743, 11486

Step-4: Factors of 22978

List of positive integer factors of 22978 that divides 22972 without a remainder.

1, 2, 11489

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22972 and 22978. The biggest common factor number is the GCF number.
So the greatest common factor 22972 and 22978 is 2.

Also check out the Least Common Multiple of 22972 and 22978