What is the Greatest Common Factor of 56589 and 56608?

Greatest common factor (GCF) of 56589 and 56608 is 1.

GCF(56589,56608) = 1

We will now calculate the prime factors of 56589 and 56608, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56589 and 56608.

How to find the GCF of 56589 and 56608?

We will first find the prime factorization of 56589 and 56608. After we will calculate the factors of 56589 and 56608 and find the biggest common factor number .

Step-1: Prime Factorization of 56589

Prime factors of 56589 are 3, 13, 1451. Prime factorization of 56589 in exponential form is:

56589 = 3¹ × 13¹ × 1451¹

Step-2: Prime Factorization of 56608

Prime factors of 56608 are 2, 29, 61. Prime factorization of 56608 in exponential form is:

56608 = 2⁵ × 29¹ × 61¹

Step-3: Factors of 56589

List of positive integer factors of 56589 that divides 56589 without a remainder.

1, 3, 13, 39, 1451, 4353, 18863

Step-4: Factors of 56608

List of positive integer factors of 56608 that divides 56589 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 61, 116, 122, 232, 244, 464, 488, 928, 976, 1769, 1952, 3538, 7076, 14152, 28304

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56589 and 56608. The biggest common factor number is the GCF number.
So the greatest common factor 56589 and 56608 is 1.

Also check out the Least Common Multiple of 56589 and 56608