What is the Greatest Common Factor of 98224 and 98231?

Greatest common factor (GCF) of 98224 and 98231 is 7.

GCF(98224,98231) = 7

We will now calculate the prime factors of 98224 and 98231, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98224 and 98231.

How to find the GCF of 98224 and 98231?

We will first find the prime factorization of 98224 and 98231. After we will calculate the factors of 98224 and 98231 and find the biggest common factor number .

Step-1: Prime Factorization of 98224

Prime factors of 98224 are 2, 7, 877. Prime factorization of 98224 in exponential form is:

98224 = 2⁴ × 7¹ × 877¹

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 98224

List of positive integer factors of 98224 that divides 98224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 877, 1754, 3508, 6139, 7016, 12278, 14032, 24556, 49112

Step-4: Factors of 98231

List of positive integer factors of 98231 that divides 98224 without a remainder.

1, 7, 14033

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98224 and 98231. The biggest common factor number is the GCF number.
So the greatest common factor 98224 and 98231 is 7.

Also check out the Least Common Multiple of 98224 and 98231