What is the Greatest Common Factor of 98828 and 98846?

Greatest common factor (GCF) of 98828 and 98846 is 2.

GCF(98828,98846) = 2

We will now calculate the prime factors of 98828 and 98846, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98828 and 98846.

How to find the GCF of 98828 and 98846?

We will first find the prime factorization of 98828 and 98846. After we will calculate the factors of 98828 and 98846 and find the biggest common factor number .

Step-1: Prime Factorization of 98828

Prime factors of 98828 are 2, 31, 797. Prime factorization of 98828 in exponential form is:

98828 = 2² × 31¹ × 797¹

Step-2: 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-3: Factors of 98828

List of positive integer factors of 98828 that divides 98828 without a remainder.

1, 2, 4, 31, 62, 124, 797, 1594, 3188, 24707, 49414

Step-4: Factors of 98846

List of positive integer factors of 98846 that divides 98828 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98828 and 98846. The biggest common factor number is the GCF number.
So the greatest common factor 98828 and 98846 is 2.

Also check out the Least Common Multiple of 98828 and 98846