What is the Greatest Common Factor of 98352 and 98370?

Greatest common factor (GCF) of 98352 and 98370 is 18.

GCF(98352,98370) = 18

We will now calculate the prime factors of 98352 and 98370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98352 and 98370.

How to find the GCF of 98352 and 98370?

We will first find the prime factorization of 98352 and 98370. After we will calculate the factors of 98352 and 98370 and find the biggest common factor number .

Step-1: Prime Factorization of 98352

Prime factors of 98352 are 2, 3, 683. Prime factorization of 98352 in exponential form is:

98352 = 2⁴ × 3² × 683¹

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 98352

List of positive integer factors of 98352 that divides 98352 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 683, 1366, 2049, 2732, 4098, 5464, 6147, 8196, 10928, 12294, 16392, 24588, 32784, 49176

Step-4: Factors of 98370

List of positive integer factors of 98370 that divides 98352 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 98352 and 98370. The biggest common factor number is the GCF number.
So the greatest common factor 98352 and 98370 is 18.

Also check out the Least Common Multiple of 98352 and 98370