What is the Greatest Common Factor of 98836 and 98854?

Greatest common factor (GCF) of 98836 and 98854 is 2.

GCF(98836,98854) = 2

We will now calculate the prime factors of 98836 and 98854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98836 and 98854.

How to find the GCF of 98836 and 98854?

We will first find the prime factorization of 98836 and 98854. After we will calculate the factors of 98836 and 98854 and find the biggest common factor number .

Step-1: Prime Factorization of 98836

Prime factors of 98836 are 2, 24709. Prime factorization of 98836 in exponential form is:

98836 = 2² × 24709¹

Step-2: 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-3: Factors of 98836

List of positive integer factors of 98836 that divides 98836 without a remainder.

1, 2, 4, 24709, 49418

Step-4: Factors of 98854

List of positive integer factors of 98854 that divides 98836 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98836 and 98854. The biggest common factor number is the GCF number.
So the greatest common factor 98836 and 98854 is 2.

Also check out the Least Common Multiple of 98836 and 98854