What is the Greatest Common Factor of 99920 and 99925?

Greatest common factor (GCF) of 99920 and 99925 is 5.

GCF(99920,99925) = 5

We will now calculate the prime factors of 99920 and 99925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99920 and 99925.

How to find the GCF of 99920 and 99925?

We will first find the prime factorization of 99920 and 99925. After we will calculate the factors of 99920 and 99925 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 99925

Prime factors of 99925 are 5, 7, 571. Prime factorization of 99925 in exponential form is:

99925 = 5² × 7¹ × 571¹

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 99925

List of positive integer factors of 99925 that divides 99920 without a remainder.

1, 5, 7, 25, 35, 175, 571, 2855, 3997, 14275, 19985

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99920 and 99925. The biggest common factor number is the GCF number.
So the greatest common factor 99920 and 99925 is 5.

Also check out the Least Common Multiple of 99920 and 99925