What is the Greatest Common Factor of 98320 and 98330?

Greatest common factor (GCF) of 98320 and 98330 is 10.

GCF(98320,98330) = 10

We will now calculate the prime factors of 98320 and 98330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98320 and 98330.

How to find the GCF of 98320 and 98330?

We will first find the prime factorization of 98320 and 98330. After we will calculate the factors of 98320 and 98330 and find the biggest common factor number .

Step-1: Prime Factorization of 98320

Prime factors of 98320 are 2, 5, 1229. Prime factorization of 98320 in exponential form is:

98320 = 2⁴ × 5¹ × 1229¹

Step-2: Prime Factorization of 98330

Prime factors of 98330 are 2, 5, 9833. Prime factorization of 98330 in exponential form is:

98330 = 2¹ × 5¹ × 9833¹

Step-3: Factors of 98320

List of positive integer factors of 98320 that divides 98320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1229, 2458, 4916, 6145, 9832, 12290, 19664, 24580, 49160

Step-4: Factors of 98330

List of positive integer factors of 98330 that divides 98320 without a remainder.

1, 2, 5, 10, 9833, 19666, 49165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98320 and 98330. The biggest common factor number is the GCF number.
So the greatest common factor 98320 and 98330 is 10.

Also check out the Least Common Multiple of 98320 and 98330