What is the Greatest Common Factor of 99350 and 99368?

Greatest common factor (GCF) of 99350 and 99368 is 2.

GCF(99350,99368) = 2

We will now calculate the prime factors of 99350 and 99368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99350 and 99368.

How to find the GCF of 99350 and 99368?

We will first find the prime factorization of 99350 and 99368. After we will calculate the factors of 99350 and 99368 and find the biggest common factor number .

Step-1: Prime Factorization of 99350

Prime factors of 99350 are 2, 5, 1987. Prime factorization of 99350 in exponential form is:

99350 = 2¹ × 5² × 1987¹

Step-2: Prime Factorization of 99368

Prime factors of 99368 are 2, 12421. Prime factorization of 99368 in exponential form is:

99368 = 2³ × 12421¹

Step-3: Factors of 99350

List of positive integer factors of 99350 that divides 99350 without a remainder.

1, 2, 5, 10, 25, 50, 1987, 3974, 9935, 19870, 49675

Step-4: Factors of 99368

List of positive integer factors of 99368 that divides 99350 without a remainder.

1, 2, 4, 8, 12421, 24842, 49684

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99350 and 99368. The biggest common factor number is the GCF number.
So the greatest common factor 99350 and 99368 is 2.

Also check out the Least Common Multiple of 99350 and 99368