What is the Greatest Common Factor of 98356 and 98370?

Greatest common factor (GCF) of 98356 and 98370 is 2.

GCF(98356,98370) = 2

We will now calculate the prime factors of 98356 and 98370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98356 and 98370.

How to find the GCF of 98356 and 98370?

We will first find the prime factorization of 98356 and 98370. After we will calculate the factors of 98356 and 98370 and find the biggest common factor number .

Step-1: Prime Factorization of 98356

Prime factors of 98356 are 2, 67, 367. Prime factorization of 98356 in exponential form is:

98356 = 2² × 67¹ × 367¹

Step-2: Prime Factorization of 98370

Prime factors of 98370 are 2, 3, 5, 1093. Prime factorization of 98370 in exponential form is:

98370 = 2¹ × 3² × 5¹ × 1093¹

Step-3: Factors of 98356

List of positive integer factors of 98356 that divides 98356 without a remainder.

1, 2, 4, 67, 134, 268, 367, 734, 1468, 24589, 49178

Step-4: Factors of 98370

List of positive integer factors of 98370 that divides 98356 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 1093, 2186, 3279, 5465, 6558, 9837, 10930, 16395, 19674, 32790, 49185

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98356 and 98370. The biggest common factor number is the GCF number.
So the greatest common factor 98356 and 98370 is 2.

Also check out the Least Common Multiple of 98356 and 98370