What is the Greatest Common Factor of 27606 and 27621?

Greatest common factor (GCF) of 27606 and 27621 is 3.

GCF(27606,27621) = 3

We will now calculate the prime factors of 27606 and 27621, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27606 and 27621.

How to find the GCF of 27606 and 27621?

We will first find the prime factorization of 27606 and 27621. After we will calculate the factors of 27606 and 27621 and find the biggest common factor number .

Step-1: Prime Factorization of 27606

Prime factors of 27606 are 2, 3, 43, 107. Prime factorization of 27606 in exponential form is:

27606 = 2¹ × 3¹ × 43¹ × 107¹

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 27606

List of positive integer factors of 27606 that divides 27606 without a remainder.

1, 2, 3, 6, 43, 86, 107, 129, 214, 258, 321, 642, 4601, 9202, 13803

Step-4: Factors of 27621

List of positive integer factors of 27621 that divides 27606 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 27606 and 27621. The biggest common factor number is the GCF number.
So the greatest common factor 27606 and 27621 is 3.

Also check out the Least Common Multiple of 27606 and 27621