What is the Greatest Common Factor of 11609 and 11628?

Greatest common factor (GCF) of 11609 and 11628 is 19.

GCF(11609,11628) = 19

We will now calculate the prime factors of 11609 and 11628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11609 and 11628.

How to find the GCF of 11609 and 11628?

We will first find the prime factorization of 11609 and 11628. After we will calculate the factors of 11609 and 11628 and find the biggest common factor number .

Step-1: Prime Factorization of 11609

Prime factors of 11609 are 13, 19, 47. Prime factorization of 11609 in exponential form is:

11609 = 13¹ × 19¹ × 47¹

Step-2: 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-3: Factors of 11609

List of positive integer factors of 11609 that divides 11609 without a remainder.

1, 13, 19, 47, 247, 611, 893

Step-4: Factors of 11628

List of positive integer factors of 11628 that divides 11609 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11609 and 11628. The biggest common factor number is the GCF number.
So the greatest common factor 11609 and 11628 is 19.

Also check out the Least Common Multiple of 11609 and 11628