What is the Greatest Common Factor of 99400 and 99405?

Greatest common factor (GCF) of 99400 and 99405 is 5.

GCF(99400,99405) = 5

We will now calculate the prime factors of 99400 and 99405, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99400 and 99405.

How to find the GCF of 99400 and 99405?

We will first find the prime factorization of 99400 and 99405. After we will calculate the factors of 99400 and 99405 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 99405

Prime factors of 99405 are 3, 5, 47. Prime factorization of 99405 in exponential form is:

99405 = 3² × 5¹ × 47²

Step-3: Factors of 99400

List of positive integer factors of 99400 that divides 99400 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

Step-4: Factors of 99405

List of positive integer factors of 99405 that divides 99400 without a remainder.

1, 3, 5, 9, 15, 45, 47, 141, 235, 423, 705, 2115, 2209, 6627, 11045, 19881, 33135

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99400 and 99405. The biggest common factor number is the GCF number.
So the greatest common factor 99400 and 99405 is 5.

Also check out the Least Common Multiple of 99400 and 99405