What is the Greatest Common Factor of 46599 and 46613?

Greatest common factor (GCF) of 46599 and 46613 is 7.

GCF(46599,46613) = 7

We will now calculate the prime factors of 46599 and 46613, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46599 and 46613.

How to find the GCF of 46599 and 46613?

We will first find the prime factorization of 46599 and 46613. After we will calculate the factors of 46599 and 46613 and find the biggest common factor number .

Step-1: Prime Factorization of 46599

Prime factors of 46599 are 3, 7, 317. Prime factorization of 46599 in exponential form is:

46599 = 3¹ × 7² × 317¹

Step-2: Prime Factorization of 46613

Prime factors of 46613 are 7, 6659. Prime factorization of 46613 in exponential form is:

46613 = 7¹ × 6659¹

Step-3: Factors of 46599

List of positive integer factors of 46599 that divides 46599 without a remainder.

1, 3, 7, 21, 49, 147, 317, 951, 2219, 6657, 15533

Step-4: Factors of 46613

List of positive integer factors of 46613 that divides 46599 without a remainder.

1, 7, 6659

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46599 and 46613. The biggest common factor number is the GCF number.
So the greatest common factor 46599 and 46613 is 7.

Also check out the Least Common Multiple of 46599 and 46613