What is the Greatest Common Factor of 99920 and 99935?

Greatest common factor (GCF) of 99920 and 99935 is 5.

GCF(99920,99935) = 5

We will now calculate the prime factors of 99920 and 99935, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99920 and 99935.

How to find the GCF of 99920 and 99935?

We will first find the prime factorization of 99920 and 99935. After we will calculate the factors of 99920 and 99935 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 99935

Prime factors of 99935 are 5, 11, 23, 79. Prime factorization of 99935 in exponential form is:

99935 = 5¹ × 11¹ × 23¹ × 79¹

Step-3: Factors of 99920

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

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

Step-4: Factors of 99935

List of positive integer factors of 99935 that divides 99920 without a remainder.

1, 5, 11, 23, 55, 79, 115, 253, 395, 869, 1265, 1817, 4345, 9085, 19987

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99920 and 99935. The biggest common factor number is the GCF number.
So the greatest common factor 99920 and 99935 is 5.

Also check out the Least Common Multiple of 99920 and 99935