What is the Greatest Common Factor of 61642 and 61656?

Greatest common factor (GCF) of 61642 and 61656 is 14.

GCF(61642,61656) = 14

We will now calculate the prime factors of 61642 and 61656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61642 and 61656.

How to find the GCF of 61642 and 61656?

We will first find the prime factorization of 61642 and 61656. After we will calculate the factors of 61642 and 61656 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 61656

Prime factors of 61656 are 2, 3, 7, 367. Prime factorization of 61656 in exponential form is:

61656 = 2³ × 3¹ × 7¹ × 367¹

Step-3: Factors of 61642

List of positive integer factors of 61642 that divides 61642 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

Step-4: Factors of 61656

List of positive integer factors of 61656 that divides 61642 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 367, 734, 1101, 1468, 2202, 2569, 2936, 4404, 5138, 7707, 8808, 10276, 15414, 20552, 30828

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61642 and 61656. The biggest common factor number is the GCF number.
So the greatest common factor 61642 and 61656 is 14.

Also check out the Least Common Multiple of 61642 and 61656