What is the Greatest Common Factor of 22740 and 22752?

Greatest common factor (GCF) of 22740 and 22752 is 12.

GCF(22740,22752) = 12

We will now calculate the prime factors of 22740 and 22752, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22740 and 22752.

How to find the GCF of 22740 and 22752?

We will first find the prime factorization of 22740 and 22752. After we will calculate the factors of 22740 and 22752 and find the biggest common factor number .

Step-1: Prime Factorization of 22740

Prime factors of 22740 are 2, 3, 5, 379. Prime factorization of 22740 in exponential form is:

22740 = 2² × 3¹ × 5¹ × 379¹

Step-2: Prime Factorization of 22752

Prime factors of 22752 are 2, 3, 79. Prime factorization of 22752 in exponential form is:

22752 = 2⁵ × 3² × 79¹

Step-3: Factors of 22740

List of positive integer factors of 22740 that divides 22740 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 379, 758, 1137, 1516, 1895, 2274, 3790, 4548, 5685, 7580, 11370

Step-4: Factors of 22752

List of positive integer factors of 22752 that divides 22740 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 79, 96, 144, 158, 237, 288, 316, 474, 632, 711, 948, 1264, 1422, 1896, 2528, 2844, 3792, 5688, 7584, 11376

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22740 and 22752. The biggest common factor number is the GCF number.
So the greatest common factor 22740 and 22752 is 12.

Also check out the Least Common Multiple of 22740 and 22752