What is the Greatest Common Factor of 27608 and 27616?

Greatest common factor (GCF) of 27608 and 27616 is 8.

GCF(27608,27616) = 8

We will now calculate the prime factors of 27608 and 27616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27608 and 27616.

How to find the GCF of 27608 and 27616?

We will first find the prime factorization of 27608 and 27616. After we will calculate the factors of 27608 and 27616 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 27616

Prime factors of 27616 are 2, 863. Prime factorization of 27616 in exponential form is:

27616 = 2⁵ × 863¹

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 27616

List of positive integer factors of 27616 that divides 27608 without a remainder.

1, 2, 4, 8, 16, 32, 863, 1726, 3452, 6904, 13808

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27608 and 27616. The biggest common factor number is the GCF number.
So the greatest common factor 27608 and 27616 is 8.

Also check out the Least Common Multiple of 27608 and 27616