What is the Greatest Common Factor of 98238 and 98247?

Greatest common factor (GCF) of 98238 and 98247 is 3.

GCF(98238,98247) = 3

We will now calculate the prime factors of 98238 and 98247, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98238 and 98247.

How to find the GCF of 98238 and 98247?

We will first find the prime factorization of 98238 and 98247. After we will calculate the factors of 98238 and 98247 and find the biggest common factor number .

Step-1: Prime Factorization of 98238

Prime factors of 98238 are 2, 3, 7, 2339. Prime factorization of 98238 in exponential form is:

98238 = 2¹ × 3¹ × 7¹ × 2339¹

Step-2: Prime Factorization of 98247

Prime factors of 98247 are 3, 32749. Prime factorization of 98247 in exponential form is:

98247 = 3¹ × 32749¹

Step-3: Factors of 98238

List of positive integer factors of 98238 that divides 98238 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 2339, 4678, 7017, 14034, 16373, 32746, 49119

Step-4: Factors of 98247

List of positive integer factors of 98247 that divides 98238 without a remainder.

1, 3, 32749

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98238 and 98247. The biggest common factor number is the GCF number.
So the greatest common factor 98238 and 98247 is 3.

Also check out the Least Common Multiple of 98238 and 98247