What is the Greatest Common Factor of 9936 and 9952?

Greatest common factor (GCF) of 9936 and 9952 is 16.

GCF(9936,9952) = 16

We will now calculate the prime factors of 9936 and 9952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9936 and 9952.

How to find the GCF of 9936 and 9952?

We will first find the prime factorization of 9936 and 9952. After we will calculate the factors of 9936 and 9952 and find the biggest common factor number .

Step-1: Prime Factorization of 9936

Prime factors of 9936 are 2, 3, 23. Prime factorization of 9936 in exponential form is:

9936 = 2⁴ × 3³ × 23¹

Step-2: Prime Factorization of 9952

Prime factors of 9952 are 2, 311. Prime factorization of 9952 in exponential form is:

9952 = 2⁵ × 311¹

Step-3: Factors of 9936

List of positive integer factors of 9936 that divides 9936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 27, 36, 46, 48, 54, 69, 72, 92, 108, 138, 144, 184, 207, 216, 276, 368, 414, 432, 552, 621, 828, 1104, 1242, 1656, 2484, 3312, 4968

Step-4: Factors of 9952

List of positive integer factors of 9952 that divides 9936 without a remainder.

1, 2, 4, 8, 16, 32, 311, 622, 1244, 2488, 4976

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9936 and 9952. The biggest common factor number is the GCF number.
So the greatest common factor 9936 and 9952 is 16.

Also check out the Least Common Multiple of 9936 and 9952