What is the Greatest Common Factor of 11724 and 11740?

Greatest common factor (GCF) of 11724 and 11740 is 4.

GCF(11724,11740) = 4

We will now calculate the prime factors of 11724 and 11740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11724 and 11740.

How to find the GCF of 11724 and 11740?

We will first find the prime factorization of 11724 and 11740. After we will calculate the factors of 11724 and 11740 and find the biggest common factor number .

Step-1: Prime Factorization of 11724

Prime factors of 11724 are 2, 3, 977. Prime factorization of 11724 in exponential form is:

11724 = 2² × 3¹ × 977¹

Step-2: Prime Factorization of 11740

Prime factors of 11740 are 2, 5, 587. Prime factorization of 11740 in exponential form is:

11740 = 2² × 5¹ × 587¹

Step-3: Factors of 11724

List of positive integer factors of 11724 that divides 11724 without a remainder.

1, 2, 3, 4, 6, 12, 977, 1954, 2931, 3908, 5862

Step-4: Factors of 11740

List of positive integer factors of 11740 that divides 11724 without a remainder.

1, 2, 4, 5, 10, 20, 587, 1174, 2348, 2935, 5870

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11724 and 11740. The biggest common factor number is the GCF number.
So the greatest common factor 11724 and 11740 is 4.

Also check out the Least Common Multiple of 11724 and 11740