What is the Greatest Common Factor of 59574 and 59581?

Greatest common factor (GCF) of 59574 and 59581 is 1.

GCF(59574,59581) = 1

We will now calculate the prime factors of 59574 and 59581, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59574 and 59581.

How to find the GCF of 59574 and 59581?

We will first find the prime factorization of 59574 and 59581. After we will calculate the factors of 59574 and 59581 and find the biggest common factor number .

Step-1: Prime Factorization of 59574

Prime factors of 59574 are 2, 3, 9929. Prime factorization of 59574 in exponential form is:

59574 = 2¹ × 3¹ × 9929¹

Step-2: Prime Factorization of 59581

Prime factors of 59581 are 59581. Prime factorization of 59581 in exponential form is:

59581 = 59581¹

Step-3: Factors of 59574

List of positive integer factors of 59574 that divides 59574 without a remainder.

1, 2, 3, 6, 9929, 19858, 29787

Step-4: Factors of 59581

List of positive integer factors of 59581 that divides 59574 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59574 and 59581. The biggest common factor number is the GCF number.
So the greatest common factor 59574 and 59581 is 1.

Also check out the Least Common Multiple of 59574 and 59581