What is the Greatest Common Factor of 11748 and 11768?

Greatest common factor (GCF) of 11748 and 11768 is 4.

GCF(11748,11768) = 4

We will now calculate the prime factors of 11748 and 11768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11748 and 11768.

How to find the GCF of 11748 and 11768?

We will first find the prime factorization of 11748 and 11768. After we will calculate the factors of 11748 and 11768 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 11768

Prime factors of 11768 are 2, 1471. Prime factorization of 11768 in exponential form is:

11768 = 2³ × 1471¹

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 11768

List of positive integer factors of 11768 that divides 11748 without a remainder.

1, 2, 4, 8, 1471, 2942, 5884

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11748 and 11768. The biggest common factor number is the GCF number.
So the greatest common factor 11748 and 11768 is 4.

Also check out the Least Common Multiple of 11748 and 11768