What is the Greatest Common Factor of 99370 and 99388?

Greatest common factor (GCF) of 99370 and 99388 is 2.

GCF(99370,99388) = 2

We will now calculate the prime factors of 99370 and 99388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99370 and 99388.

How to find the GCF of 99370 and 99388?

We will first find the prime factorization of 99370 and 99388. After we will calculate the factors of 99370 and 99388 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 99388

Prime factors of 99388 are 2, 24847. Prime factorization of 99388 in exponential form is:

99388 = 2² × 24847¹

Step-3: Factors of 99370

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

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

Step-4: Factors of 99388

List of positive integer factors of 99388 that divides 99370 without a remainder.

1, 2, 4, 24847, 49694

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99370 and 99388. The biggest common factor number is the GCF number.
So the greatest common factor 99370 and 99388 is 2.

Also check out the Least Common Multiple of 99370 and 99388