What is the Greatest Common Factor of 11936 and 11952?

Greatest common factor (GCF) of 11936 and 11952 is 16.

GCF(11936,11952) = 16

We will now calculate the prime factors of 11936 and 11952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11936 and 11952.

How to find the GCF of 11936 and 11952?

We will first find the prime factorization of 11936 and 11952. After we will calculate the factors of 11936 and 11952 and find the biggest common factor number .

Step-1: Prime Factorization of 11936

Prime factors of 11936 are 2, 373. Prime factorization of 11936 in exponential form is:

11936 = 2⁵ × 373¹

Step-2: Prime Factorization of 11952

Prime factors of 11952 are 2, 3, 83. Prime factorization of 11952 in exponential form is:

11952 = 2⁴ × 3² × 83¹

Step-3: Factors of 11936

List of positive integer factors of 11936 that divides 11936 without a remainder.

1, 2, 4, 8, 16, 32, 373, 746, 1492, 2984, 5968

Step-4: Factors of 11952

List of positive integer factors of 11952 that divides 11936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 83, 144, 166, 249, 332, 498, 664, 747, 996, 1328, 1494, 1992, 2988, 3984, 5976

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11936 and 11952. The biggest common factor number is the GCF number.
So the greatest common factor 11936 and 11952 is 16.

Also check out the Least Common Multiple of 11936 and 11952