What is the Greatest Common Factor of 9952 and 9964?

Greatest common factor (GCF) of 9952 and 9964 is 4.

GCF(9952,9964) = 4

We will now calculate the prime factors of 9952 and 9964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9952 and 9964.

How to find the GCF of 9952 and 9964?

We will first find the prime factorization of 9952 and 9964. After we will calculate the factors of 9952 and 9964 and find the biggest common factor number .

Step-1: Prime Factorization of 9952

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

9952 = 2⁵ × 311¹

Step-2: Prime Factorization of 9964

Prime factors of 9964 are 2, 47, 53. Prime factorization of 9964 in exponential form is:

9964 = 2² × 47¹ × 53¹

Step-3: Factors of 9952

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

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

Step-4: Factors of 9964

List of positive integer factors of 9964 that divides 9952 without a remainder.

1, 2, 4, 47, 53, 94, 106, 188, 212, 2491, 4982

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9952 and 9964. The biggest common factor number is the GCF number.
So the greatest common factor 9952 and 9964 is 4.

Also check out the Least Common Multiple of 9952 and 9964