What is the Greatest Common Factor of 61628 and 61642?

Greatest common factor (GCF) of 61628 and 61642 is 14.

GCF(61628,61642) = 14

We will now calculate the prime factors of 61628 and 61642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61628 and 61642.

How to find the GCF of 61628 and 61642?

We will first find the prime factorization of 61628 and 61642. After we will calculate the factors of 61628 and 61642 and find the biggest common factor number .

Step-1: Prime Factorization of 61628

Prime factors of 61628 are 2, 7, 31, 71. Prime factorization of 61628 in exponential form is:

61628 = 2² × 7¹ × 31¹ × 71¹

Step-2: Prime Factorization of 61642

Prime factors of 61642 are 2, 7, 17, 37. Prime factorization of 61642 in exponential form is:

61642 = 2¹ × 7² × 17¹ × 37¹

Step-3: Factors of 61628

List of positive integer factors of 61628 that divides 61628 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 71, 124, 142, 217, 284, 434, 497, 868, 994, 1988, 2201, 4402, 8804, 15407, 30814

Step-4: Factors of 61642

List of positive integer factors of 61642 that divides 61628 without a remainder.

1, 2, 7, 14, 17, 34, 37, 49, 74, 98, 119, 238, 259, 518, 629, 833, 1258, 1666, 1813, 3626, 4403, 8806, 30821

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61628 and 61642. The biggest common factor number is the GCF number.
So the greatest common factor 61628 and 61642 is 14.

Also check out the Least Common Multiple of 61628 and 61642