What is the Greatest Common Factor of 22746 and 22752?

Greatest common factor (GCF) of 22746 and 22752 is 6.

GCF(22746,22752) = 6

We will now calculate the prime factors of 22746 and 22752, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22746 and 22752.

How to find the GCF of 22746 and 22752?

We will first find the prime factorization of 22746 and 22752. After we will calculate the factors of 22746 and 22752 and find the biggest common factor number .

Step-1: Prime Factorization of 22746

Prime factors of 22746 are 2, 3, 17, 223. Prime factorization of 22746 in exponential form is:

22746 = 2¹ × 3¹ × 17¹ × 223¹

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 22746

List of positive integer factors of 22746 that divides 22746 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 223, 446, 669, 1338, 3791, 7582, 11373

Step-4: Factors of 22752

List of positive integer factors of 22752 that divides 22746 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 22746 and 22752. The biggest common factor number is the GCF number.
So the greatest common factor 22746 and 22752 is 6.

Also check out the Least Common Multiple of 22746 and 22752