What is the Greatest Common Factor of 22972 and 22987?

Greatest common factor (GCF) of 22972 and 22987 is 1.

GCF(22972,22987) = 1

We will now calculate the prime factors of 22972 and 22987, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22972 and 22987.

How to find the GCF of 22972 and 22987?

We will first find the prime factorization of 22972 and 22987. After we will calculate the factors of 22972 and 22987 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 22987

Prime factors of 22987 are 127, 181. Prime factorization of 22987 in exponential form is:

22987 = 127¹ × 181¹

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 22987

List of positive integer factors of 22987 that divides 22972 without a remainder.

1, 127, 181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22972 and 22987. The biggest common factor number is the GCF number.
So the greatest common factor 22972 and 22987 is 1.

Also check out the Least Common Multiple of 22972 and 22987