What is the Greatest Common Factor of 59672 and 59688?

Greatest common factor (GCF) of 59672 and 59688 is 8.

GCF(59672,59688) = 8

We will now calculate the prime factors of 59672 and 59688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59672 and 59688.

How to find the GCF of 59672 and 59688?

We will first find the prime factorization of 59672 and 59688. After we will calculate the factors of 59672 and 59688 and find the biggest common factor number .

Step-1: Prime Factorization of 59672

Prime factors of 59672 are 2, 7459. Prime factorization of 59672 in exponential form is:

59672 = 2³ × 7459¹

Step-2: Prime Factorization of 59688

Prime factors of 59688 are 2, 3, 829. Prime factorization of 59688 in exponential form is:

59688 = 2³ × 3² × 829¹

Step-3: Factors of 59672

List of positive integer factors of 59672 that divides 59672 without a remainder.

1, 2, 4, 8, 7459, 14918, 29836

Step-4: Factors of 59688

List of positive integer factors of 59688 that divides 59672 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 829, 1658, 2487, 3316, 4974, 6632, 7461, 9948, 14922, 19896, 29844

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59672 and 59688. The biggest common factor number is the GCF number.
So the greatest common factor 59672 and 59688 is 8.

Also check out the Least Common Multiple of 59672 and 59688