What is the Greatest Common Factor of 98975 and 98979?

Greatest common factor (GCF) of 98975 and 98979 is 1.

GCF(98975,98979) = 1

We will now calculate the prime factors of 98975 and 98979, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98975 and 98979.

How to find the GCF of 98975 and 98979?

We will first find the prime factorization of 98975 and 98979. After we will calculate the factors of 98975 and 98979 and find the biggest common factor number .

Step-1: Prime Factorization of 98975

Prime factors of 98975 are 5, 37, 107. Prime factorization of 98975 in exponential form is:

98975 = 5² × 37¹ × 107¹

Step-2: Prime Factorization of 98979

Prime factors of 98979 are 3, 32993. Prime factorization of 98979 in exponential form is:

98979 = 3¹ × 32993¹

Step-3: Factors of 98975

List of positive integer factors of 98975 that divides 98975 without a remainder.

1, 5, 25, 37, 107, 185, 535, 925, 2675, 3959, 19795

Step-4: Factors of 98979

List of positive integer factors of 98979 that divides 98975 without a remainder.

1, 3, 32993

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98975 and 98979. The biggest common factor number is the GCF number.
So the greatest common factor 98975 and 98979 is 1.

Also check out the Least Common Multiple of 98975 and 98979