What is the Greatest Common Factor of 22935 and 22947?

Greatest common factor (GCF) of 22935 and 22947 is 3.

GCF(22935,22947) = 3

We will now calculate the prime factors of 22935 and 22947, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22935 and 22947.

How to find the GCF of 22935 and 22947?

We will first find the prime factorization of 22935 and 22947. After we will calculate the factors of 22935 and 22947 and find the biggest common factor number .

Step-1: Prime Factorization of 22935

Prime factors of 22935 are 3, 5, 11, 139. Prime factorization of 22935 in exponential form is:

22935 = 3¹ × 5¹ × 11¹ × 139¹

Step-2: Prime Factorization of 22947

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

22947 = 3¹ × 7649¹

Step-3: Factors of 22935

List of positive integer factors of 22935 that divides 22935 without a remainder.

1, 3, 5, 11, 15, 33, 55, 139, 165, 417, 695, 1529, 2085, 4587, 7645

Step-4: Factors of 22947

List of positive integer factors of 22947 that divides 22935 without a remainder.

1, 3, 7649

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22935 and 22947. The biggest common factor number is the GCF number.
So the greatest common factor 22935 and 22947 is 3.

Also check out the Least Common Multiple of 22935 and 22947