What is the Greatest Common Factor of 22724 and 22737?

Greatest common factor (GCF) of 22724 and 22737 is 13.

GCF(22724,22737) = 13

We will now calculate the prime factors of 22724 and 22737, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22724 and 22737.

How to find the GCF of 22724 and 22737?

We will first find the prime factorization of 22724 and 22737. After we will calculate the factors of 22724 and 22737 and find the biggest common factor number .

Step-1: Prime Factorization of 22724

Prime factors of 22724 are 2, 13, 19, 23. Prime factorization of 22724 in exponential form is:

22724 = 2² × 13¹ × 19¹ × 23¹

Step-2: Prime Factorization of 22737

Prime factors of 22737 are 3, 11, 13, 53. Prime factorization of 22737 in exponential form is:

22737 = 3¹ × 11¹ × 13¹ × 53¹

Step-3: Factors of 22724

List of positive integer factors of 22724 that divides 22724 without a remainder.

1, 2, 4, 13, 19, 23, 26, 38, 46, 52, 76, 92, 247, 299, 437, 494, 598, 874, 988, 1196, 1748, 5681, 11362

Step-4: Factors of 22737

List of positive integer factors of 22737 that divides 22724 without a remainder.

1, 3, 11, 13, 33, 39, 53, 143, 159, 429, 583, 689, 1749, 2067, 7579

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22724 and 22737. The biggest common factor number is the GCF number.
So the greatest common factor 22724 and 22737 is 13.

Also check out the Least Common Multiple of 22724 and 22737