What is the Greatest Common Factor of 98854 and 98858?

Greatest common factor (GCF) of 98854 and 98858 is 2.

GCF(98854,98858) = 2

We will now calculate the prime factors of 98854 and 98858, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98854 and 98858.

How to find the GCF of 98854 and 98858?

We will first find the prime factorization of 98854 and 98858. After we will calculate the factors of 98854 and 98858 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 98858

Prime factors of 98858 are 2, 49429. Prime factorization of 98858 in exponential form is:

98858 = 2¹ × 49429¹

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 98858

List of positive integer factors of 98858 that divides 98854 without a remainder.

1, 2, 49429

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98854 and 98858. The biggest common factor number is the GCF number.
So the greatest common factor 98854 and 98858 is 2.

Also check out the Least Common Multiple of 98854 and 98858