What is the Greatest Common Factor of 47628 and 47637?

Greatest common factor (GCF) of 47628 and 47637 is 9.

GCF(47628,47637) = 9

We will now calculate the prime factors of 47628 and 47637, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47628 and 47637.

How to find the GCF of 47628 and 47637?

We will first find the prime factorization of 47628 and 47637. After we will calculate the factors of 47628 and 47637 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 47637

Prime factors of 47637 are 3, 67, 79. Prime factorization of 47637 in exponential form is:

47637 = 3² × 67¹ × 79¹

Step-3: Factors of 47628

List of positive integer factors of 47628 that divides 47628 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

Step-4: Factors of 47637

List of positive integer factors of 47637 that divides 47628 without a remainder.

1, 3, 9, 67, 79, 201, 237, 603, 711, 5293, 15879

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47628 and 47637. The biggest common factor number is the GCF number.
So the greatest common factor 47628 and 47637 is 9.

Also check out the Least Common Multiple of 47628 and 47637