What is the Greatest Common Factor of 11932 and 11948?

Greatest common factor (GCF) of 11932 and 11948 is 4.

GCF(11932,11948) = 4

We will now calculate the prime factors of 11932 and 11948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11932 and 11948.

How to find the GCF of 11932 and 11948?

We will first find the prime factorization of 11932 and 11948. After we will calculate the factors of 11932 and 11948 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 11948

Prime factors of 11948 are 2, 29, 103. Prime factorization of 11948 in exponential form is:

11948 = 2² × 29¹ × 103¹

Step-3: Factors of 11932

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

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

Step-4: Factors of 11948

List of positive integer factors of 11948 that divides 11932 without a remainder.

1, 2, 4, 29, 58, 103, 116, 206, 412, 2987, 5974

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11932 and 11948. The biggest common factor number is the GCF number.
So the greatest common factor 11932 and 11948 is 4.

Also check out the Least Common Multiple of 11932 and 11948