What is the Greatest Common Factor of 22956 and 22969?

Greatest common factor (GCF) of 22956 and 22969 is 1.

GCF(22956,22969) = 1

We will now calculate the prime factors of 22956 and 22969, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22956 and 22969.

How to find the GCF of 22956 and 22969?

We will first find the prime factorization of 22956 and 22969. After we will calculate the factors of 22956 and 22969 and find the biggest common factor number .

Step-1: Prime Factorization of 22956

Prime factors of 22956 are 2, 3, 1913. Prime factorization of 22956 in exponential form is:

22956 = 2² × 3¹ × 1913¹

Step-2: Prime Factorization of 22969

Prime factors of 22969 are 103, 223. Prime factorization of 22969 in exponential form is:

22969 = 103¹ × 223¹

Step-3: Factors of 22956

List of positive integer factors of 22956 that divides 22956 without a remainder.

1, 2, 3, 4, 6, 12, 1913, 3826, 5739, 7652, 11478

Step-4: Factors of 22969

List of positive integer factors of 22969 that divides 22956 without a remainder.

1, 103, 223

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22956 and 22969. The biggest common factor number is the GCF number.
So the greatest common factor 22956 and 22969 is 1.

Also check out the Least Common Multiple of 22956 and 22969