What is the Greatest Common Factor of 11748 and 11762?

Greatest common factor (GCF) of 11748 and 11762 is 2.

GCF(11748,11762) = 2

We will now calculate the prime factors of 11748 and 11762, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11748 and 11762.

How to find the GCF of 11748 and 11762?

We will first find the prime factorization of 11748 and 11762. After we will calculate the factors of 11748 and 11762 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 11762

Prime factors of 11762 are 2, 5881. Prime factorization of 11762 in exponential form is:

11762 = 2¹ × 5881¹

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 11762

List of positive integer factors of 11762 that divides 11748 without a remainder.

1, 2, 5881

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11748 and 11762. The biggest common factor number is the GCF number.
So the greatest common factor 11748 and 11762 is 2.

Also check out the Least Common Multiple of 11748 and 11762