What is the Greatest Common Factor of 98865 and 98884?

Greatest common factor (GCF) of 98865 and 98884 is 1.

GCF(98865,98884) = 1

We will now calculate the prime factors of 98865 and 98884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98865 and 98884.

How to find the GCF of 98865 and 98884?

We will first find the prime factorization of 98865 and 98884. After we will calculate the factors of 98865 and 98884 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 98884

Prime factors of 98884 are 2, 59, 419. Prime factorization of 98884 in exponential form is:

98884 = 2² × 59¹ × 419¹

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 98884

List of positive integer factors of 98884 that divides 98865 without a remainder.

1, 2, 4, 59, 118, 236, 419, 838, 1676, 24721, 49442

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98865 and 98884. The biggest common factor number is the GCF number.
So the greatest common factor 98865 and 98884 is 1.

Also check out the Least Common Multiple of 98865 and 98884