What is the Greatest Common Factor of 9920 and 9936?

Greatest common factor (GCF) of 9920 and 9936 is 16.

GCF(9920,9936) = 16

We will now calculate the prime factors of 9920 and 9936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9920 and 9936.

How to find the GCF of 9920 and 9936?

We will first find the prime factorization of 9920 and 9936. After we will calculate the factors of 9920 and 9936 and find the biggest common factor number .

Step-1: Prime Factorization of 9920

Prime factors of 9920 are 2, 5, 31. Prime factorization of 9920 in exponential form is:

9920 = 2⁶ × 5¹ × 31¹

Step-2: 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-3: Factors of 9920

List of positive integer factors of 9920 that divides 9920 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 31, 32, 40, 62, 64, 80, 124, 155, 160, 248, 310, 320, 496, 620, 992, 1240, 1984, 2480, 4960

Step-4: Factors of 9936

List of positive integer factors of 9936 that divides 9920 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9920 and 9936. The biggest common factor number is the GCF number.
So the greatest common factor 9920 and 9936 is 16.

Also check out the Least Common Multiple of 9920 and 9936