What is the Greatest Common Factor of 11914 and 11932?

Greatest common factor (GCF) of 11914 and 11932 is 2.

GCF(11914,11932) = 2

We will now calculate the prime factors of 11914 and 11932, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11914 and 11932.

How to find the GCF of 11914 and 11932?

We will first find the prime factorization of 11914 and 11932. After we will calculate the factors of 11914 and 11932 and find the biggest common factor number .

Step-1: Prime Factorization of 11914

Prime factors of 11914 are 2, 7, 23, 37. Prime factorization of 11914 in exponential form is:

11914 = 2¹ × 7¹ × 23¹ × 37¹

Step-2: Prime Factorization of 11932

Prime factors of 11932 are 2, 19, 157. Prime factorization of 11932 in exponential form is:

11932 = 2² × 19¹ × 157¹

Step-3: Factors of 11914

List of positive integer factors of 11914 that divides 11914 without a remainder.

1, 2, 7, 14, 23, 37, 46, 74, 161, 259, 322, 518, 851, 1702, 5957

Step-4: Factors of 11932

List of positive integer factors of 11932 that divides 11914 without a remainder.

1, 2, 4, 19, 38, 76, 157, 314, 628, 2983, 5966

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11914 and 11932. The biggest common factor number is the GCF number.
So the greatest common factor 11914 and 11932 is 2.

Also check out the Least Common Multiple of 11914 and 11932