What is the Greatest Common Factor of 22752 and 22760?

Greatest common factor (GCF) of 22752 and 22760 is 8.

GCF(22752,22760) = 8

We will now calculate the prime factors of 22752 and 22760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22752 and 22760.

How to find the GCF of 22752 and 22760?

We will first find the prime factorization of 22752 and 22760. After we will calculate the factors of 22752 and 22760 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 22760

Prime factors of 22760 are 2, 5, 569. Prime factorization of 22760 in exponential form is:

22760 = 2³ × 5¹ × 569¹

Step-3: Factors of 22752

List of positive integer factors of 22752 that divides 22752 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

Step-4: Factors of 22760

List of positive integer factors of 22760 that divides 22752 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 569, 1138, 2276, 2845, 4552, 5690, 11380

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22752 and 22760. The biggest common factor number is the GCF number.
So the greatest common factor 22752 and 22760 is 8.

Also check out the Least Common Multiple of 22752 and 22760