What is the Greatest Common Factor of 98834 and 98854?

Greatest common factor (GCF) of 98834 and 98854 is 2.

GCF(98834,98854) = 2

We will now calculate the prime factors of 98834 and 98854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98834 and 98854.

How to find the GCF of 98834 and 98854?

We will first find the prime factorization of 98834 and 98854. After we will calculate the factors of 98834 and 98854 and find the biggest common factor number .

Step-1: Prime Factorization of 98834

Prime factors of 98834 are 2, 49417. Prime factorization of 98834 in exponential form is:

98834 = 2¹ × 49417¹

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 98834

List of positive integer factors of 98834 that divides 98834 without a remainder.

1, 2, 49417

Step-4: Factors of 98854

List of positive integer factors of 98854 that divides 98834 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 98834 and 98854. The biggest common factor number is the GCF number.
So the greatest common factor 98834 and 98854 is 2.

Also check out the Least Common Multiple of 98834 and 98854