What is the Greatest Common Factor of 60613 and 60627?

Greatest common factor (GCF) of 60613 and 60627 is 7.

GCF(60613,60627) = 7

We will now calculate the prime factors of 60613 and 60627, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60613 and 60627.

How to find the GCF of 60613 and 60627?

We will first find the prime factorization of 60613 and 60627. After we will calculate the factors of 60613 and 60627 and find the biggest common factor number .

Step-1: Prime Factorization of 60613

Prime factors of 60613 are 7, 1237. Prime factorization of 60613 in exponential form is:

60613 = 7² × 1237¹

Step-2: Prime Factorization of 60627

Prime factors of 60627 are 3, 7, 2887. Prime factorization of 60627 in exponential form is:

60627 = 3¹ × 7¹ × 2887¹

Step-3: Factors of 60613

List of positive integer factors of 60613 that divides 60613 without a remainder.

1, 7, 49, 1237, 8659

Step-4: Factors of 60627

List of positive integer factors of 60627 that divides 60613 without a remainder.

1, 3, 7, 21, 2887, 8661, 20209

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60613 and 60627. The biggest common factor number is the GCF number.
So the greatest common factor 60613 and 60627 is 7.

Also check out the Least Common Multiple of 60613 and 60627