What is the Greatest Common Factor of 11748 and 11756?

Greatest common factor (GCF) of 11748 and 11756 is 4.

GCF(11748,11756) = 4

We will now calculate the prime factors of 11748 and 11756, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11748 and 11756.

How to find the GCF of 11748 and 11756?

We will first find the prime factorization of 11748 and 11756. After we will calculate the factors of 11748 and 11756 and find the biggest common factor number .

Step-1: Prime Factorization of 11748

Prime factors of 11748 are 2, 3, 11, 89. Prime factorization of 11748 in exponential form is:

11748 = 2² × 3¹ × 11¹ × 89¹

Step-2: Prime Factorization of 11756

Prime factors of 11756 are 2, 2939. Prime factorization of 11756 in exponential form is:

11756 = 2² × 2939¹

Step-3: Factors of 11748

List of positive integer factors of 11748 that divides 11748 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 89, 132, 178, 267, 356, 534, 979, 1068, 1958, 2937, 3916, 5874

Step-4: Factors of 11756

List of positive integer factors of 11756 that divides 11748 without a remainder.

1, 2, 4, 2939, 5878

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11748 and 11756. The biggest common factor number is the GCF number.
So the greatest common factor 11748 and 11756 is 4.

Also check out the Least Common Multiple of 11748 and 11756