What is the Greatest Common Factor of 61642 and 61652?

Greatest common factor (GCF) of 61642 and 61652 is 2.

GCF(61642,61652) = 2

We will now calculate the prime factors of 61642 and 61652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61642 and 61652.

How to find the GCF of 61642 and 61652?

We will first find the prime factorization of 61642 and 61652. After we will calculate the factors of 61642 and 61652 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 61652

Prime factors of 61652 are 2, 15413. Prime factorization of 61652 in exponential form is:

61652 = 2² × 15413¹

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 61652

List of positive integer factors of 61652 that divides 61642 without a remainder.

1, 2, 4, 15413, 30826

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61642 and 61652. The biggest common factor number is the GCF number.
So the greatest common factor 61642 and 61652 is 2.

Also check out the Least Common Multiple of 61642 and 61652