What is the Greatest Common Factor of 98919 and 98938?

Greatest common factor (GCF) of 98919 and 98938 is 1.

GCF(98919,98938) = 1

We will now calculate the prime factors of 98919 and 98938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98919 and 98938.

How to find the GCF of 98919 and 98938?

We will first find the prime factorization of 98919 and 98938. After we will calculate the factors of 98919 and 98938 and find the biggest common factor number .

Step-1: Prime Factorization of 98919

Prime factors of 98919 are 3, 29, 379. Prime factorization of 98919 in exponential form is:

98919 = 3² × 29¹ × 379¹

Step-2: Prime Factorization of 98938

Prime factors of 98938 are 2, 7, 37, 191. Prime factorization of 98938 in exponential form is:

98938 = 2¹ × 7¹ × 37¹ × 191¹

Step-3: Factors of 98919

List of positive integer factors of 98919 that divides 98919 without a remainder.

1, 3, 9, 29, 87, 261, 379, 1137, 3411, 10991, 32973

Step-4: Factors of 98938

List of positive integer factors of 98938 that divides 98919 without a remainder.

1, 2, 7, 14, 37, 74, 191, 259, 382, 518, 1337, 2674, 7067, 14134, 49469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98919 and 98938. The biggest common factor number is the GCF number.
So the greatest common factor 98919 and 98938 is 1.

Also check out the Least Common Multiple of 98919 and 98938