What is the Greatest Common Factor of 98196 and 98211?

Greatest common factor (GCF) of 98196 and 98211 is 3.

GCF(98196,98211) = 3

We will now calculate the prime factors of 98196 and 98211, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98196 and 98211.

How to find the GCF of 98196 and 98211?

We will first find the prime factorization of 98196 and 98211. After we will calculate the factors of 98196 and 98211 and find the biggest common factor number .

Step-1: Prime Factorization of 98196

Prime factors of 98196 are 2, 3, 7, 167. Prime factorization of 98196 in exponential form is:

98196 = 2² × 3¹ × 7² × 167¹

Step-2: Prime Factorization of 98211

Prime factors of 98211 are 3, 19, 1723. Prime factorization of 98211 in exponential form is:

98211 = 3¹ × 19¹ × 1723¹

Step-3: Factors of 98196

List of positive integer factors of 98196 that divides 98196 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 167, 196, 294, 334, 501, 588, 668, 1002, 1169, 2004, 2338, 3507, 4676, 7014, 8183, 14028, 16366, 24549, 32732, 49098

Step-4: Factors of 98211

List of positive integer factors of 98211 that divides 98196 without a remainder.

1, 3, 19, 57, 1723, 5169, 32737

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98196 and 98211. The biggest common factor number is the GCF number.
So the greatest common factor 98196 and 98211 is 3.

Also check out the Least Common Multiple of 98196 and 98211