What is the Greatest Common Factor of 11736 and 11754?

Greatest common factor (GCF) of 11736 and 11754 is 18.

GCF(11736,11754) = 18

We will now calculate the prime factors of 11736 and 11754, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11736 and 11754.

How to find the GCF of 11736 and 11754?

We will first find the prime factorization of 11736 and 11754. After we will calculate the factors of 11736 and 11754 and find the biggest common factor number .

Step-1: Prime Factorization of 11736

Prime factors of 11736 are 2, 3, 163. Prime factorization of 11736 in exponential form is:

11736 = 2³ × 3² × 163¹

Step-2: Prime Factorization of 11754

Prime factors of 11754 are 2, 3, 653. Prime factorization of 11754 in exponential form is:

11754 = 2¹ × 3² × 653¹

Step-3: Factors of 11736

List of positive integer factors of 11736 that divides 11736 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 163, 326, 489, 652, 978, 1304, 1467, 1956, 2934, 3912, 5868

Step-4: Factors of 11754

List of positive integer factors of 11754 that divides 11736 without a remainder.

1, 2, 3, 6, 9, 18, 653, 1306, 1959, 3918, 5877

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11736 and 11754. The biggest common factor number is the GCF number.
So the greatest common factor 11736 and 11754 is 18.

Also check out the Least Common Multiple of 11736 and 11754