What is the Greatest Common Factor of 11599 and 11613?

Greatest common factor (GCF) of 11599 and 11613 is 7.

GCF(11599,11613) = 7

We will now calculate the prime factors of 11599 and 11613, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11599 and 11613.

How to find the GCF of 11599 and 11613?

We will first find the prime factorization of 11599 and 11613. After we will calculate the factors of 11599 and 11613 and find the biggest common factor number .

Step-1: Prime Factorization of 11599

Prime factors of 11599 are 7, 1657. Prime factorization of 11599 in exponential form is:

11599 = 7¹ × 1657¹

Step-2: Prime Factorization of 11613

Prime factors of 11613 are 3, 7, 79. Prime factorization of 11613 in exponential form is:

11613 = 3¹ × 7² × 79¹

Step-3: Factors of 11599

List of positive integer factors of 11599 that divides 11599 without a remainder.

1, 7, 1657

Step-4: Factors of 11613

List of positive integer factors of 11613 that divides 11599 without a remainder.

1, 3, 7, 21, 49, 79, 147, 237, 553, 1659, 3871

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11599 and 11613. The biggest common factor number is the GCF number.
So the greatest common factor 11599 and 11613 is 7.

Also check out the Least Common Multiple of 11599 and 11613