What is the Greatest Common Factor of 98865 and 98874?

Greatest common factor (GCF) of 98865 and 98874 is 9.

GCF(98865,98874) = 9

We will now calculate the prime factors of 98865 and 98874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98865 and 98874.

How to find the GCF of 98865 and 98874?

We will first find the prime factorization of 98865 and 98874. After we will calculate the factors of 98865 and 98874 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 98874

Prime factors of 98874 are 2, 3, 1831. Prime factorization of 98874 in exponential form is:

98874 = 2¹ × 3³ × 1831¹

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 98874

List of positive integer factors of 98874 that divides 98865 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1831, 3662, 5493, 10986, 16479, 32958, 49437

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98865 and 98874. The biggest common factor number is the GCF number.
So the greatest common factor 98865 and 98874 is 9.

Also check out the Least Common Multiple of 98865 and 98874