What is the Greatest Common Factor of 99350 and 99370?

Greatest common factor (GCF) of 99350 and 99370 is 10.

GCF(99350,99370) = 10

We will now calculate the prime factors of 99350 and 99370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99350 and 99370.

How to find the GCF of 99350 and 99370?

We will first find the prime factorization of 99350 and 99370. After we will calculate the factors of 99350 and 99370 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 99370

Prime factors of 99370 are 2, 5, 19, 523. Prime factorization of 99370 in exponential form is:

99370 = 2¹ × 5¹ × 19¹ × 523¹

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 99370

List of positive integer factors of 99370 that divides 99350 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 523, 1046, 2615, 5230, 9937, 19874, 49685

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99350 and 99370. The biggest common factor number is the GCF number.
So the greatest common factor 99350 and 99370 is 10.

Also check out the Least Common Multiple of 99350 and 99370