What is the Greatest Common Factor of 60656 and 60664?

Greatest common factor (GCF) of 60656 and 60664 is 8.

GCF(60656,60664) = 8

We will now calculate the prime factors of 60656 and 60664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60656 and 60664.

How to find the GCF of 60656 and 60664?

We will first find the prime factorization of 60656 and 60664. After we will calculate the factors of 60656 and 60664 and find the biggest common factor number .

Step-1: Prime Factorization of 60656

Prime factors of 60656 are 2, 17, 223. Prime factorization of 60656 in exponential form is:

60656 = 2⁴ × 17¹ × 223¹

Step-2: Prime Factorization of 60664

Prime factors of 60664 are 2, 7583. Prime factorization of 60664 in exponential form is:

60664 = 2³ × 7583¹

Step-3: Factors of 60656

List of positive integer factors of 60656 that divides 60656 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 223, 272, 446, 892, 1784, 3568, 3791, 7582, 15164, 30328

Step-4: Factors of 60664

List of positive integer factors of 60664 that divides 60656 without a remainder.

1, 2, 4, 8, 7583, 15166, 30332

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60656 and 60664. The biggest common factor number is the GCF number.
So the greatest common factor 60656 and 60664 is 8.

Also check out the Least Common Multiple of 60656 and 60664