What is the Greatest Common Factor of 11628 and 11647?

Greatest common factor (GCF) of 11628 and 11647 is 19.

GCF(11628,11647) = 19

We will now calculate the prime factors of 11628 and 11647, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11628 and 11647.

How to find the GCF of 11628 and 11647?

We will first find the prime factorization of 11628 and 11647. After we will calculate the factors of 11628 and 11647 and find the biggest common factor number .

Step-1: Prime Factorization of 11628

Prime factors of 11628 are 2, 3, 17, 19. Prime factorization of 11628 in exponential form is:

11628 = 2² × 3² × 17¹ × 19¹

Step-2: Prime Factorization of 11647

Prime factors of 11647 are 19, 613. Prime factorization of 11647 in exponential form is:

11647 = 19¹ × 613¹

Step-3: Factors of 11628

List of positive integer factors of 11628 that divides 11628 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 19, 34, 36, 38, 51, 57, 68, 76, 102, 114, 153, 171, 204, 228, 306, 323, 342, 612, 646, 684, 969, 1292, 1938, 2907, 3876, 5814

Step-4: Factors of 11647

List of positive integer factors of 11647 that divides 11628 without a remainder.

1, 19, 613

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11628 and 11647. The biggest common factor number is the GCF number.
So the greatest common factor 11628 and 11647 is 19.

Also check out the Least Common Multiple of 11628 and 11647