What is the Greatest Common Factor of 98671 and 98679?

Greatest common factor (GCF) of 98671 and 98679 is 1.

GCF(98671,98679) = 1

We will now calculate the prime factors of 98671 and 98679, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98671 and 98679.

How to find the GCF of 98671 and 98679?

We will first find the prime factorization of 98671 and 98679. After we will calculate the factors of 98671 and 98679 and find the biggest common factor number .

Step-1: Prime Factorization of 98671

Prime factors of 98671 are 79, 1249. Prime factorization of 98671 in exponential form is:

98671 = 79¹ × 1249¹

Step-2: Prime Factorization of 98679

Prime factors of 98679 are 3, 7, 37, 127. Prime factorization of 98679 in exponential form is:

98679 = 3¹ × 7¹ × 37¹ × 127¹

Step-3: Factors of 98671

List of positive integer factors of 98671 that divides 98671 without a remainder.

1, 79, 1249

Step-4: Factors of 98679

List of positive integer factors of 98679 that divides 98671 without a remainder.

1, 3, 7, 21, 37, 111, 127, 259, 381, 777, 889, 2667, 4699, 14097, 32893

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98671 and 98679. The biggest common factor number is the GCF number.
So the greatest common factor 98671 and 98679 is 1.

Also check out the Least Common Multiple of 98671 and 98679