What is the Greatest Common Factor of 22947 and 22953?

Greatest common factor (GCF) of 22947 and 22953 is 3.

GCF(22947,22953) = 3

We will now calculate the prime factors of 22947 and 22953, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22947 and 22953.

How to find the GCF of 22947 and 22953?

We will first find the prime factorization of 22947 and 22953. After we will calculate the factors of 22947 and 22953 and find the biggest common factor number .

Step-1: Prime Factorization of 22947

Prime factors of 22947 are 3, 7649. Prime factorization of 22947 in exponential form is:

22947 = 3¹ × 7649¹

Step-2: Prime Factorization of 22953

Prime factors of 22953 are 3, 7, 1093. Prime factorization of 22953 in exponential form is:

22953 = 3¹ × 7¹ × 1093¹

Step-3: Factors of 22947

List of positive integer factors of 22947 that divides 22947 without a remainder.

1, 3, 7649

Step-4: Factors of 22953

List of positive integer factors of 22953 that divides 22947 without a remainder.

1, 3, 7, 21, 1093, 3279, 7651

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22947 and 22953. The biggest common factor number is the GCF number.
So the greatest common factor 22947 and 22953 is 3.

Also check out the Least Common Multiple of 22947 and 22953