What is the Greatest Common Factor of 47612 and 47628?

Greatest common factor (GCF) of 47612 and 47628 is 4.

GCF(47612,47628) = 4

We will now calculate the prime factors of 47612 and 47628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47612 and 47628.

How to find the GCF of 47612 and 47628?

We will first find the prime factorization of 47612 and 47628. After we will calculate the factors of 47612 and 47628 and find the biggest common factor number .

Step-1: Prime Factorization of 47612

Prime factors of 47612 are 2, 11903. Prime factorization of 47612 in exponential form is:

47612 = 2² × 11903¹

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 47612

List of positive integer factors of 47612 that divides 47612 without a remainder.

1, 2, 4, 11903, 23806

Step-4: Factors of 47628

List of positive integer factors of 47628 that divides 47612 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 47612 and 47628. The biggest common factor number is the GCF number.
So the greatest common factor 47612 and 47628 is 4.

Also check out the Least Common Multiple of 47612 and 47628