What is the Greatest Common Factor of 22713 and 22728?

Greatest common factor (GCF) of 22713 and 22728 is 3.

GCF(22713,22728) = 3

We will now calculate the prime factors of 22713 and 22728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22713 and 22728.

How to find the GCF of 22713 and 22728?

We will first find the prime factorization of 22713 and 22728. After we will calculate the factors of 22713 and 22728 and find the biggest common factor number .

Step-1: Prime Factorization of 22713

Prime factors of 22713 are 3, 67, 113. Prime factorization of 22713 in exponential form is:

22713 = 3¹ × 67¹ × 113¹

Step-2: Prime Factorization of 22728

Prime factors of 22728 are 2, 3, 947. Prime factorization of 22728 in exponential form is:

22728 = 2³ × 3¹ × 947¹

Step-3: Factors of 22713

List of positive integer factors of 22713 that divides 22713 without a remainder.

1, 3, 67, 113, 201, 339, 7571

Step-4: Factors of 22728

List of positive integer factors of 22728 that divides 22713 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 947, 1894, 2841, 3788, 5682, 7576, 11364

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22713 and 22728. The biggest common factor number is the GCF number.
So the greatest common factor 22713 and 22728 is 3.

Also check out the Least Common Multiple of 22713 and 22728