What is the Greatest Common Factor of 98217 and 98231?

Greatest common factor (GCF) of 98217 and 98231 is 7.

GCF(98217,98231) = 7

We will now calculate the prime factors of 98217 and 98231, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98217 and 98231.

How to find the GCF of 98217 and 98231?

We will first find the prime factorization of 98217 and 98231. After we will calculate the factors of 98217 and 98231 and find the biggest common factor number .

Step-1: Prime Factorization of 98217

Prime factors of 98217 are 3, 7, 1559. Prime factorization of 98217 in exponential form is:

98217 = 3² × 7¹ × 1559¹

Step-2: Prime Factorization of 98231

Prime factors of 98231 are 7, 14033. Prime factorization of 98231 in exponential form is:

98231 = 7¹ × 14033¹

Step-3: Factors of 98217

List of positive integer factors of 98217 that divides 98217 without a remainder.

1, 3, 7, 9, 21, 63, 1559, 4677, 10913, 14031, 32739

Step-4: Factors of 98231

List of positive integer factors of 98231 that divides 98217 without a remainder.

1, 7, 14033

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98217 and 98231. The biggest common factor number is the GCF number.
So the greatest common factor 98217 and 98231 is 7.

Also check out the Least Common Multiple of 98217 and 98231