What is the Greatest Common Factor of 98913 and 98931?

Greatest common factor (GCF) of 98913 and 98931 is 3.

GCF(98913,98931) = 3

We will now calculate the prime factors of 98913 and 98931, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98913 and 98931.

How to find the GCF of 98913 and 98931?

We will first find the prime factorization of 98913 and 98931. After we will calculate the factors of 98913 and 98931 and find the biggest common factor number .

Step-1: Prime Factorization of 98913

Prime factors of 98913 are 3, 32971. Prime factorization of 98913 in exponential form is:

98913 = 3¹ × 32971¹

Step-2: Prime Factorization of 98931

Prime factors of 98931 are 3, 7, 673. Prime factorization of 98931 in exponential form is:

98931 = 3¹ × 7² × 673¹

Step-3: Factors of 98913

List of positive integer factors of 98913 that divides 98913 without a remainder.

1, 3, 32971

Step-4: Factors of 98931

List of positive integer factors of 98931 that divides 98913 without a remainder.

1, 3, 7, 21, 49, 147, 673, 2019, 4711, 14133, 32977

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98913 and 98931. The biggest common factor number is the GCF number.
So the greatest common factor 98913 and 98931 is 3.

Also check out the Least Common Multiple of 98913 and 98931