What is the Greatest Common Factor of 27610 and 27621?

Greatest common factor (GCF) of 27610 and 27621 is 11.

GCF(27610,27621) = 11

We will now calculate the prime factors of 27610 and 27621, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27610 and 27621.

How to find the GCF of 27610 and 27621?

We will first find the prime factorization of 27610 and 27621. After we will calculate the factors of 27610 and 27621 and find the biggest common factor number .

Step-1: Prime Factorization of 27610

Prime factors of 27610 are 2, 5, 11, 251. Prime factorization of 27610 in exponential form is:

27610 = 2¹ × 5¹ × 11¹ × 251¹

Step-2: Prime Factorization of 27621

Prime factors of 27621 are 3, 11, 31. Prime factorization of 27621 in exponential form is:

27621 = 3⁴ × 11¹ × 31¹

Step-3: Factors of 27610

List of positive integer factors of 27610 that divides 27610 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 251, 502, 1255, 2510, 2761, 5522, 13805

Step-4: Factors of 27621

List of positive integer factors of 27621 that divides 27610 without a remainder.

1, 3, 9, 11, 27, 31, 33, 81, 93, 99, 279, 297, 341, 837, 891, 1023, 2511, 3069, 9207

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27610 and 27621. The biggest common factor number is the GCF number.
So the greatest common factor 27610 and 27621 is 11.

Also check out the Least Common Multiple of 27610 and 27621