What is the Greatest Common Factor of 47628 and 47636?

Greatest common factor (GCF) of 47628 and 47636 is 4.

GCF(47628,47636) = 4

We will now calculate the prime factors of 47628 and 47636, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47628 and 47636.

How to find the GCF of 47628 and 47636?

We will first find the prime factorization of 47628 and 47636. After we will calculate the factors of 47628 and 47636 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 47636

Prime factors of 47636 are 2, 11909. Prime factorization of 47636 in exponential form is:

47636 = 2² × 11909¹

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 47636

List of positive integer factors of 47636 that divides 47628 without a remainder.

1, 2, 4, 11909, 23818

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47628 and 47636. The biggest common factor number is the GCF number.
So the greatest common factor 47628 and 47636 is 4.

Also check out the Least Common Multiple of 47628 and 47636