What is the Greatest Common Factor of 11748 and 11766?

Greatest common factor (GCF) of 11748 and 11766 is 6.

GCF(11748,11766) = 6

We will now calculate the prime factors of 11748 and 11766, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11748 and 11766.

How to find the GCF of 11748 and 11766?

We will first find the prime factorization of 11748 and 11766. After we will calculate the factors of 11748 and 11766 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 11766

Prime factors of 11766 are 2, 3, 37, 53. Prime factorization of 11766 in exponential form is:

11766 = 2¹ × 3¹ × 37¹ × 53¹

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 11766

List of positive integer factors of 11766 that divides 11748 without a remainder.

1, 2, 3, 6, 37, 53, 74, 106, 111, 159, 222, 318, 1961, 3922, 5883

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11748 and 11766. The biggest common factor number is the GCF number.
So the greatest common factor 11748 and 11766 is 6.

Also check out the Least Common Multiple of 11748 and 11766