What is the Greatest Common Factor of 47628 and 47632?

Greatest common factor (GCF) of 47628 and 47632 is 4.

GCF(47628,47632) = 4

We will now calculate the prime factors of 47628 and 47632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47628 and 47632.

How to find the GCF of 47628 and 47632?

We will first find the prime factorization of 47628 and 47632. After we will calculate the factors of 47628 and 47632 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 47632

Prime factors of 47632 are 2, 13, 229. Prime factorization of 47632 in exponential form is:

47632 = 2⁴ × 13¹ × 229¹

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 47632

List of positive integer factors of 47632 that divides 47628 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 229, 458, 916, 1832, 2977, 3664, 5954, 11908, 23816

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47628 and 47632. The biggest common factor number is the GCF number.
So the greatest common factor 47628 and 47632 is 4.

Also check out the Least Common Multiple of 47628 and 47632