What is the Greatest Common Factor of 98119 and 98131?

Greatest common factor (GCF) of 98119 and 98131 is 1.

GCF(98119,98131) = 1

We will now calculate the prime factors of 98119 and 98131, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98119 and 98131.

How to find the GCF of 98119 and 98131?

We will first find the prime factorization of 98119 and 98131. After we will calculate the factors of 98119 and 98131 and find the biggest common factor number .

Step-1: Prime Factorization of 98119

Prime factors of 98119 are 7, 107, 131. Prime factorization of 98119 in exponential form is:

98119 = 7¹ × 107¹ × 131¹

Step-2: Prime Factorization of 98131

Prime factors of 98131 are 11, 811. Prime factorization of 98131 in exponential form is:

98131 = 11² × 811¹

Step-3: Factors of 98119

List of positive integer factors of 98119 that divides 98119 without a remainder.

1, 7, 107, 131, 749, 917, 14017

Step-4: Factors of 98131

List of positive integer factors of 98131 that divides 98119 without a remainder.

1, 11, 121, 811, 8921

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98119 and 98131. The biggest common factor number is the GCF number.
So the greatest common factor 98119 and 98131 is 1.

Also check out the Least Common Multiple of 98119 and 98131