What is the Greatest Common Factor of 98979 and 98991?

Greatest common factor (GCF) of 98979 and 98991 is 3.

GCF(98979,98991) = 3

We will now calculate the prime factors of 98979 and 98991, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98979 and 98991.

How to find the GCF of 98979 and 98991?

We will first find the prime factorization of 98979 and 98991. After we will calculate the factors of 98979 and 98991 and find the biggest common factor number .

Step-1: Prime Factorization of 98979

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

98979 = 3¹ × 32993¹

Step-2: Prime Factorization of 98991

Prime factors of 98991 are 3, 17, 647. Prime factorization of 98991 in exponential form is:

98991 = 3² × 17¹ × 647¹

Step-3: Factors of 98979

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

1, 3, 32993

Step-4: Factors of 98991

List of positive integer factors of 98991 that divides 98979 without a remainder.

1, 3, 9, 17, 51, 153, 647, 1941, 5823, 10999, 32997

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98979 and 98991. The biggest common factor number is the GCF number.
So the greatest common factor 98979 and 98991 is 3.

Also check out the Least Common Multiple of 98979 and 98991