What is the Greatest Common Factor of 98238 and 98251?

Greatest common factor (GCF) of 98238 and 98251 is 1.

GCF(98238,98251) = 1

We will now calculate the prime factors of 98238 and 98251, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98238 and 98251.

How to find the GCF of 98238 and 98251?

We will first find the prime factorization of 98238 and 98251. After we will calculate the factors of 98238 and 98251 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 98251

Prime factors of 98251 are 98251. Prime factorization of 98251 in exponential form is:

98251 = 98251¹

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 98251

List of positive integer factors of 98251 that divides 98238 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98238 and 98251. The biggest common factor number is the GCF number.
So the greatest common factor 98238 and 98251 is 1.

Also check out the Least Common Multiple of 98238 and 98251