What is the Greatest Common Factor of 98865 and 98877?

Greatest common factor (GCF) of 98865 and 98877 is 3.

GCF(98865,98877) = 3

We will now calculate the prime factors of 98865 and 98877, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98865 and 98877.

How to find the GCF of 98865 and 98877?

We will first find the prime factorization of 98865 and 98877. After we will calculate the factors of 98865 and 98877 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 98877

Prime factors of 98877 are 3, 23, 1433. Prime factorization of 98877 in exponential form is:

98877 = 3¹ × 23¹ × 1433¹

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 98877

List of positive integer factors of 98877 that divides 98865 without a remainder.

1, 3, 23, 69, 1433, 4299, 32959

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98865 and 98877. The biggest common factor number is the GCF number.
So the greatest common factor 98865 and 98877 is 3.

Also check out the Least Common Multiple of 98865 and 98877