What is the Greatest Common Factor of 98846 and 98854?

Greatest common factor (GCF) of 98846 and 98854 is 2.

GCF(98846,98854) = 2

We will now calculate the prime factors of 98846 and 98854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98846 and 98854.

How to find the GCF of 98846 and 98854?

We will first find the prime factorization of 98846 and 98854. After we will calculate the factors of 98846 and 98854 and find the biggest common factor number .

Step-1: Prime Factorization of 98846

Prime factors of 98846 are 2, 11, 4493. Prime factorization of 98846 in exponential form is:

98846 = 2¹ × 11¹ × 4493¹

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 98846

List of positive integer factors of 98846 that divides 98846 without a remainder.

1, 2, 11, 22, 4493, 8986, 49423

Step-4: Factors of 98854

List of positive integer factors of 98854 that divides 98846 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 98846 and 98854. The biggest common factor number is the GCF number.
So the greatest common factor 98846 and 98854 is 2.

Also check out the Least Common Multiple of 98846 and 98854