What is the Greatest Common Factor of 98865 and 98871?

Greatest common factor (GCF) of 98865 and 98871 is 3.

GCF(98865,98871) = 3

We will now calculate the prime factors of 98865 and 98871, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98865 and 98871.

How to find the GCF of 98865 and 98871?

We will first find the prime factorization of 98865 and 98871. After we will calculate the factors of 98865 and 98871 and find the biggest common factor number .

Step-1: Prime Factorization of 98865

Prime factors of 98865 are 3, 5, 13. Prime factorization of 98865 in exponential form is:

98865 = 3² × 5¹ × 13³

Step-2: Prime Factorization of 98871

Prime factors of 98871 are 3, 32957. Prime factorization of 98871 in exponential form is:

98871 = 3¹ × 32957¹

Step-3: Factors of 98865

List of positive integer factors of 98865 that divides 98865 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 169, 195, 507, 585, 845, 1521, 2197, 2535, 6591, 7605, 10985, 19773, 32955

Step-4: Factors of 98871

List of positive integer factors of 98871 that divides 98865 without a remainder.

1, 3, 32957

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98865 and 98871. The biggest common factor number is the GCF number.
So the greatest common factor 98865 and 98871 is 3.

Also check out the Least Common Multiple of 98865 and 98871