What is the Greatest Common Factor of 47616 and 47628?

Greatest common factor (GCF) of 47616 and 47628 is 12.

GCF(47616,47628) = 12

We will now calculate the prime factors of 47616 and 47628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47616 and 47628.

How to find the GCF of 47616 and 47628?

We will first find the prime factorization of 47616 and 47628. After we will calculate the factors of 47616 and 47628 and find the biggest common factor number .

Step-1: Prime Factorization of 47616

Prime factors of 47616 are 2, 3, 31. Prime factorization of 47616 in exponential form is:

47616 = 2⁹ × 3¹ × 31¹

Step-2: Prime Factorization of 47628

Prime factors of 47628 are 2, 3, 7. Prime factorization of 47628 in exponential form is:

47628 = 2² × 3⁵ × 7²

Step-3: Factors of 47616

List of positive integer factors of 47616 that divides 47616 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 32, 48, 62, 64, 93, 96, 124, 128, 186, 192, 248, 256, 372, 384, 496, 512, 744, 768, 992, 1488, 1536, 1984, 2976, 3968, 5952, 7936, 11904, 15872, 23808

Step-4: Factors of 47628

List of positive integer factors of 47628 that divides 47616 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 49, 54, 63, 81, 84, 98, 108, 126, 147, 162, 189, 196, 243, 252, 294, 324, 378, 441, 486, 567, 588, 756, 882, 972, 1134, 1323, 1701, 1764, 2268, 2646, 3402, 3969, 5292, 6804, 7938, 11907, 15876, 23814

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47616 and 47628. The biggest common factor number is the GCF number.
So the greatest common factor 47616 and 47628 is 12.

Also check out the Least Common Multiple of 47616 and 47628