What is the Greatest Common Factor of 47628 and 47642?

Greatest common factor (GCF) of 47628 and 47642 is 14.

GCF(47628,47642) = 14

We will now calculate the prime factors of 47628 and 47642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47628 and 47642.

How to find the GCF of 47628 and 47642?

We will first find the prime factorization of 47628 and 47642. After we will calculate the factors of 47628 and 47642 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 47642

Prime factors of 47642 are 2, 7, 41, 83. Prime factorization of 47642 in exponential form is:

47642 = 2¹ × 7¹ × 41¹ × 83¹

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 47642

List of positive integer factors of 47642 that divides 47628 without a remainder.

1, 2, 7, 14, 41, 82, 83, 166, 287, 574, 581, 1162, 3403, 6806, 23821

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47628 and 47642. The biggest common factor number is the GCF number.
So the greatest common factor 47628 and 47642 is 14.

Also check out the Least Common Multiple of 47628 and 47642