What is the Greatest Common Factor of 59671 and 59688?

Greatest common factor (GCF) of 59671 and 59688 is 1.

GCF(59671,59688) = 1

We will now calculate the prime factors of 59671 and 59688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59671 and 59688.

How to find the GCF of 59671 and 59688?

We will first find the prime factorization of 59671 and 59688. After we will calculate the factors of 59671 and 59688 and find the biggest common factor number .

Step-1: Prime Factorization of 59671

Prime factors of 59671 are 59671. Prime factorization of 59671 in exponential form is:

59671 = 59671¹

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 59671

List of positive integer factors of 59671 that divides 59671 without a remainder.

Step-4: Factors of 59688

List of positive integer factors of 59688 that divides 59671 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 59671 and 59688. The biggest common factor number is the GCF number.
So the greatest common factor 59671 and 59688 is 1.

Also check out the Least Common Multiple of 59671 and 59688