What is the Greatest Common Factor of 61628 and 61646?

Greatest common factor (GCF) of 61628 and 61646 is 2.

GCF(61628,61646) = 2

We will now calculate the prime factors of 61628 and 61646, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61628 and 61646.

How to find the GCF of 61628 and 61646?

We will first find the prime factorization of 61628 and 61646. After we will calculate the factors of 61628 and 61646 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 61646

Prime factors of 61646 are 2, 13, 2371. Prime factorization of 61646 in exponential form is:

61646 = 2¹ × 13¹ × 2371¹

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 61646

List of positive integer factors of 61646 that divides 61628 without a remainder.

1, 2, 13, 26, 2371, 4742, 30823

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61628 and 61646. The biggest common factor number is the GCF number.
So the greatest common factor 61628 and 61646 is 2.

Also check out the Least Common Multiple of 61628 and 61646