What is the Greatest Common Factor of 9936 and 9942?

Greatest common factor (GCF) of 9936 and 9942 is 6.

GCF(9936,9942) = 6

We will now calculate the prime factors of 9936 and 9942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9936 and 9942.

How to find the GCF of 9936 and 9942?

We will first find the prime factorization of 9936 and 9942. After we will calculate the factors of 9936 and 9942 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 9942

Prime factors of 9942 are 2, 3, 1657. Prime factorization of 9942 in exponential form is:

9942 = 2¹ × 3¹ × 1657¹

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 9942

List of positive integer factors of 9942 that divides 9936 without a remainder.

1, 2, 3, 6, 1657, 3314, 4971

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9936 and 9942. The biggest common factor number is the GCF number.
So the greatest common factor 9936 and 9942 is 6.

Also check out the Least Common Multiple of 9936 and 9942