What is the Greatest Common Factor of 99400 and 99412?

Greatest common factor (GCF) of 99400 and 99412 is 4.

GCF(99400,99412) = 4

We will now calculate the prime factors of 99400 and 99412, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99400 and 99412.

How to find the GCF of 99400 and 99412?

We will first find the prime factorization of 99400 and 99412. After we will calculate the factors of 99400 and 99412 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 99412

Prime factors of 99412 are 2, 29, 857. Prime factorization of 99412 in exponential form is:

99412 = 2² × 29¹ × 857¹

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 99412

List of positive integer factors of 99412 that divides 99400 without a remainder.

1, 2, 4, 29, 58, 116, 857, 1714, 3428, 24853, 49706

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99400 and 99412. The biggest common factor number is the GCF number.
So the greatest common factor 99400 and 99412 is 4.

Also check out the Least Common Multiple of 99400 and 99412