What is the Greatest Common Factor of 61664 and 61676?

Greatest common factor (GCF) of 61664 and 61676 is 4.

GCF(61664,61676) = 4

We will now calculate the prime factors of 61664 and 61676, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61664 and 61676.

How to find the GCF of 61664 and 61676?

We will first find the prime factorization of 61664 and 61676. After we will calculate the factors of 61664 and 61676 and find the biggest common factor number .

Step-1: Prime Factorization of 61664

Prime factors of 61664 are 2, 41, 47. Prime factorization of 61664 in exponential form is:

61664 = 2⁵ × 41¹ × 47¹

Step-2: Prime Factorization of 61676

Prime factors of 61676 are 2, 17, 907. Prime factorization of 61676 in exponential form is:

61676 = 2² × 17¹ × 907¹

Step-3: Factors of 61664

List of positive integer factors of 61664 that divides 61664 without a remainder.

1, 2, 4, 8, 16, 32, 41, 47, 82, 94, 164, 188, 328, 376, 656, 752, 1312, 1504, 1927, 3854, 7708, 15416, 30832

Step-4: Factors of 61676

List of positive integer factors of 61676 that divides 61664 without a remainder.

1, 2, 4, 17, 34, 68, 907, 1814, 3628, 15419, 30838

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61664 and 61676. The biggest common factor number is the GCF number.
So the greatest common factor 61664 and 61676 is 4.

Also check out the Least Common Multiple of 61664 and 61676