What is the Greatest Common Factor of 59556 and 59567?

Greatest common factor (GCF) of 59556 and 59567 is 1.

GCF(59556,59567) = 1

We will now calculate the prime factors of 59556 and 59567, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59556 and 59567.

How to find the GCF of 59556 and 59567?

We will first find the prime factorization of 59556 and 59567. After we will calculate the factors of 59556 and 59567 and find the biggest common factor number .

Step-1: Prime Factorization of 59556

Prime factors of 59556 are 2, 3, 7, 709. Prime factorization of 59556 in exponential form is:

59556 = 2² × 3¹ × 7¹ × 709¹

Step-2: Prime Factorization of 59567

Prime factors of 59567 are 59567. Prime factorization of 59567 in exponential form is:

59567 = 59567¹

Step-3: Factors of 59556

List of positive integer factors of 59556 that divides 59556 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 709, 1418, 2127, 2836, 4254, 4963, 8508, 9926, 14889, 19852, 29778

Step-4: Factors of 59567

List of positive integer factors of 59567 that divides 59556 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59556 and 59567. The biggest common factor number is the GCF number.
So the greatest common factor 59556 and 59567 is 1.

Also check out the Least Common Multiple of 59556 and 59567