What is the Greatest Common Factor of 45744 and 45756?

Greatest common factor (GCF) of 45744 and 45756 is 12.

GCF(45744,45756) = 12

We will now calculate the prime factors of 45744 and 45756, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45744 and 45756.

How to find the GCF of 45744 and 45756?

We will first find the prime factorization of 45744 and 45756. After we will calculate the factors of 45744 and 45756 and find the biggest common factor number .

Step-1: Prime Factorization of 45744

Prime factors of 45744 are 2, 3, 953. Prime factorization of 45744 in exponential form is:

45744 = 2⁴ × 3¹ × 953¹

Step-2: Prime Factorization of 45756

Prime factors of 45756 are 2, 3, 31, 41. Prime factorization of 45756 in exponential form is:

45756 = 2² × 3² × 31¹ × 41¹

Step-3: Factors of 45744

List of positive integer factors of 45744 that divides 45744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 953, 1906, 2859, 3812, 5718, 7624, 11436, 15248, 22872

Step-4: Factors of 45756

List of positive integer factors of 45756 that divides 45744 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 31, 36, 41, 62, 82, 93, 123, 124, 164, 186, 246, 279, 369, 372, 492, 558, 738, 1116, 1271, 1476, 2542, 3813, 5084, 7626, 11439, 15252, 22878

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45744 and 45756. The biggest common factor number is the GCF number.
So the greatest common factor 45744 and 45756 is 12.

Also check out the Least Common Multiple of 45744 and 45756