What is the Greatest Common Factor of 98931 and 98935?

Greatest common factor (GCF) of 98931 and 98935 is 1.

GCF(98931,98935) = 1

We will now calculate the prime factors of 98931 and 98935, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98931 and 98935.

How to find the GCF of 98931 and 98935?

We will first find the prime factorization of 98931 and 98935. After we will calculate the factors of 98931 and 98935 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 98935

Prime factors of 98935 are 5, 47, 421. Prime factorization of 98935 in exponential form is:

98935 = 5¹ × 47¹ × 421¹

Step-3: Factors of 98931

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

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

Step-4: Factors of 98935

List of positive integer factors of 98935 that divides 98931 without a remainder.

1, 5, 47, 235, 421, 2105, 19787

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98931 and 98935. The biggest common factor number is the GCF number.
So the greatest common factor 98931 and 98935 is 1.

Also check out the Least Common Multiple of 98931 and 98935