What is the Greatest Common Factor of 27608 and 27613?

Greatest common factor (GCF) of 27608 and 27613 is 1.

GCF(27608,27613) = 1

We will now calculate the prime factors of 27608 and 27613, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27608 and 27613.

How to find the GCF of 27608 and 27613?

We will first find the prime factorization of 27608 and 27613. After we will calculate the factors of 27608 and 27613 and find the biggest common factor number .

Step-1: Prime Factorization of 27608

Prime factors of 27608 are 2, 7, 17, 29. Prime factorization of 27608 in exponential form is:

27608 = 2³ × 7¹ × 17¹ × 29¹

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 27608

List of positive integer factors of 27608 that divides 27608 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 29, 34, 56, 58, 68, 116, 119, 136, 203, 232, 238, 406, 476, 493, 812, 952, 986, 1624, 1972, 3451, 3944, 6902, 13804

Step-4: Factors of 27613

List of positive integer factors of 27613 that divides 27608 without a remainder.

1, 53, 521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27608 and 27613. The biggest common factor number is the GCF number.
So the greatest common factor 27608 and 27613 is 1.

Also check out the Least Common Multiple of 27608 and 27613