What is the Greatest Common Factor of 99904 and 99920?

Greatest common factor (GCF) of 99904 and 99920 is 16.

GCF(99904,99920) = 16

We will now calculate the prime factors of 99904 and 99920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99904 and 99920.

How to find the GCF of 99904 and 99920?

We will first find the prime factorization of 99904 and 99920. After we will calculate the factors of 99904 and 99920 and find the biggest common factor number .

Step-1: Prime Factorization of 99904

Prime factors of 99904 are 2, 7, 223. Prime factorization of 99904 in exponential form is:

99904 = 2⁶ × 7¹ × 223¹

Step-2: Prime Factorization of 99920

Prime factors of 99920 are 2, 5, 1249. Prime factorization of 99920 in exponential form is:

99920 = 2⁴ × 5¹ × 1249¹

Step-3: Factors of 99904

List of positive integer factors of 99904 that divides 99904 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 223, 224, 446, 448, 892, 1561, 1784, 3122, 3568, 6244, 7136, 12488, 14272, 24976, 49952

Step-4: Factors of 99920

List of positive integer factors of 99920 that divides 99904 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1249, 2498, 4996, 6245, 9992, 12490, 19984, 24980, 49960

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99904 and 99920. The biggest common factor number is the GCF number.
So the greatest common factor 99904 and 99920 is 16.

Also check out the Least Common Multiple of 99904 and 99920