What is the Greatest Common Factor of 61623 and 61627?

Greatest common factor (GCF) of 61623 and 61627 is 1.

GCF(61623,61627) = 1

We will now calculate the prime factors of 61623 and 61627, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61623 and 61627.

How to find the GCF of 61623 and 61627?

We will first find the prime factorization of 61623 and 61627. After we will calculate the factors of 61623 and 61627 and find the biggest common factor number .

Step-1: Prime Factorization of 61623

Prime factors of 61623 are 3, 41, 167. Prime factorization of 61623 in exponential form is:

61623 = 3² × 41¹ × 167¹

Step-2: Prime Factorization of 61627

Prime factors of 61627 are 61627. Prime factorization of 61627 in exponential form is:

61627 = 61627¹

Step-3: Factors of 61623

List of positive integer factors of 61623 that divides 61623 without a remainder.

1, 3, 9, 41, 123, 167, 369, 501, 1503, 6847, 20541

Step-4: Factors of 61627

List of positive integer factors of 61627 that divides 61623 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61623 and 61627. The biggest common factor number is the GCF number.
So the greatest common factor 61623 and 61627 is 1.

Also check out the Least Common Multiple of 61623 and 61627