What is the Greatest Common Factor of 11938 and 11952?

Greatest common factor (GCF) of 11938 and 11952 is 2.

GCF(11938,11952) = 2

We will now calculate the prime factors of 11938 and 11952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11938 and 11952.

How to find the GCF of 11938 and 11952?

We will first find the prime factorization of 11938 and 11952. After we will calculate the factors of 11938 and 11952 and find the biggest common factor number .

Step-1: Prime Factorization of 11938

Prime factors of 11938 are 2, 47, 127. Prime factorization of 11938 in exponential form is:

11938 = 2¹ × 47¹ × 127¹

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 11938

List of positive integer factors of 11938 that divides 11938 without a remainder.

1, 2, 47, 94, 127, 254, 5969

Step-4: Factors of 11952

List of positive integer factors of 11952 that divides 11938 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 11938 and 11952. The biggest common factor number is the GCF number.
So the greatest common factor 11938 and 11952 is 2.

Also check out the Least Common Multiple of 11938 and 11952