What is the Greatest Common Factor of 98854 and 98865?

Greatest common factor (GCF) of 98854 and 98865 is 1.

GCF(98854,98865) = 1

We will now calculate the prime factors of 98854 and 98865, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98854 and 98865.

How to find the GCF of 98854 and 98865?

We will first find the prime factorization of 98854 and 98865. After we will calculate the factors of 98854 and 98865 and find the biggest common factor number .

Step-1: Prime Factorization of 98854

Prime factors of 98854 are 2, 7, 23, 307. Prime factorization of 98854 in exponential form is:

98854 = 2¹ × 7¹ × 23¹ × 307¹

Step-2: 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-3: Factors of 98854

List of positive integer factors of 98854 that divides 98854 without a remainder.

1, 2, 7, 14, 23, 46, 161, 307, 322, 614, 2149, 4298, 7061, 14122, 49427

Step-4: Factors of 98865

List of positive integer factors of 98865 that divides 98854 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98854 and 98865. The biggest common factor number is the GCF number.
So the greatest common factor 98854 and 98865 is 1.

Also check out the Least Common Multiple of 98854 and 98865