What is the Greatest Common Factor of 99395 and 99400?

Greatest common factor (GCF) of 99395 and 99400 is 5.

GCF(99395,99400) = 5

We will now calculate the prime factors of 99395 and 99400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99395 and 99400.

How to find the GCF of 99395 and 99400?

We will first find the prime factorization of 99395 and 99400. After we will calculate the factors of 99395 and 99400 and find the biggest common factor number .

Step-1: Prime Factorization of 99395

Prime factors of 99395 are 5, 103, 193. Prime factorization of 99395 in exponential form is:

99395 = 5¹ × 103¹ × 193¹

Step-2: Prime Factorization of 99400

Prime factors of 99400 are 2, 5, 7, 71. Prime factorization of 99400 in exponential form is:

99400 = 2³ × 5² × 7¹ × 71¹

Step-3: Factors of 99395

List of positive integer factors of 99395 that divides 99395 without a remainder.

1, 5, 103, 193, 515, 965, 19879

Step-4: Factors of 99400

List of positive integer factors of 99400 that divides 99395 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 50, 56, 70, 71, 100, 140, 142, 175, 200, 280, 284, 350, 355, 497, 568, 700, 710, 994, 1400, 1420, 1775, 1988, 2485, 2840, 3550, 3976, 4970, 7100, 9940, 12425, 14200, 19880, 24850, 49700

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99395 and 99400. The biggest common factor number is the GCF number.
So the greatest common factor 99395 and 99400 is 5.

Also check out the Least Common Multiple of 99395 and 99400