What is the Greatest Common Factor of 60599 and 60613?

Greatest common factor (GCF) of 60599 and 60613 is 7.

GCF(60599,60613) = 7

We will now calculate the prime factors of 60599 and 60613, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60599 and 60613.

How to find the GCF of 60599 and 60613?

We will first find the prime factorization of 60599 and 60613. After we will calculate the factors of 60599 and 60613 and find the biggest common factor number .

Step-1: Prime Factorization of 60599

Prime factors of 60599 are 7, 11, 787. Prime factorization of 60599 in exponential form is:

60599 = 7¹ × 11¹ × 787¹

Step-2: Prime Factorization of 60613

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

60613 = 7² × 1237¹

Step-3: Factors of 60599

List of positive integer factors of 60599 that divides 60599 without a remainder.

1, 7, 11, 77, 787, 5509, 8657

Step-4: Factors of 60613

List of positive integer factors of 60613 that divides 60599 without a remainder.

1, 7, 49, 1237, 8659

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60599 and 60613. The biggest common factor number is the GCF number.
So the greatest common factor 60599 and 60613 is 7.

Also check out the Least Common Multiple of 60599 and 60613