What is the Greatest Common Factor of 9904 and 9920?

Greatest common factor (GCF) of 9904 and 9920 is 16.

GCF(9904,9920) = 16

We will now calculate the prime factors of 9904 and 9920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9904 and 9920.

How to find the GCF of 9904 and 9920?

We will first find the prime factorization of 9904 and 9920. After we will calculate the factors of 9904 and 9920 and find the biggest common factor number .

Step-1: Prime Factorization of 9904

Prime factors of 9904 are 2, 619. Prime factorization of 9904 in exponential form is:

9904 = 2⁴ × 619¹

Step-2: 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-3: Factors of 9904

List of positive integer factors of 9904 that divides 9904 without a remainder.

1, 2, 4, 8, 16, 619, 1238, 2476, 4952

Step-4: Factors of 9920

List of positive integer factors of 9920 that divides 9904 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9904 and 9920. The biggest common factor number is the GCF number.
So the greatest common factor 9904 and 9920 is 16.

Also check out the Least Common Multiple of 9904 and 9920