What is the Greatest Common Factor of 61616 and 61628?

Greatest common factor (GCF) of 61616 and 61628 is 4.

GCF(61616,61628) = 4

We will now calculate the prime factors of 61616 and 61628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61616 and 61628.

How to find the GCF of 61616 and 61628?

We will first find the prime factorization of 61616 and 61628. After we will calculate the factors of 61616 and 61628 and find the biggest common factor number .

Step-1: Prime Factorization of 61616

Prime factors of 61616 are 2, 3851. Prime factorization of 61616 in exponential form is:

61616 = 2⁴ × 3851¹

Step-2: 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-3: Factors of 61616

List of positive integer factors of 61616 that divides 61616 without a remainder.

1, 2, 4, 8, 16, 3851, 7702, 15404, 30808

Step-4: Factors of 61628

List of positive integer factors of 61628 that divides 61616 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61616 and 61628. The biggest common factor number is the GCF number.
So the greatest common factor 61616 and 61628 is 4.

Also check out the Least Common Multiple of 61616 and 61628