What is the Greatest Common Factor of 27599 and 27613?

Greatest common factor (GCF) of 27599 and 27613 is 1.

GCF(27599,27613) = 1

We will now calculate the prime factors of 27599 and 27613, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27599 and 27613.

How to find the GCF of 27599 and 27613?

We will first find the prime factorization of 27599 and 27613. After we will calculate the factors of 27599 and 27613 and find the biggest common factor number .

Step-1: Prime Factorization of 27599

Prime factors of 27599 are 11, 13, 193. Prime factorization of 27599 in exponential form is:

27599 = 11¹ × 13¹ × 193¹

Step-2: Prime Factorization of 27613

Prime factors of 27613 are 53, 521. Prime factorization of 27613 in exponential form is:

27613 = 53¹ × 521¹

Step-3: Factors of 27599

List of positive integer factors of 27599 that divides 27599 without a remainder.

1, 11, 13, 143, 193, 2123, 2509

Step-4: Factors of 27613

List of positive integer factors of 27613 that divides 27599 without a remainder.

1, 53, 521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27599 and 27613. The biggest common factor number is the GCF number.
So the greatest common factor 27599 and 27613 is 1.

Also check out the Least Common Multiple of 27599 and 27613