What is the Greatest Common Factor of 98320 and 98336?

Greatest common factor (GCF) of 98320 and 98336 is 16.

GCF(98320,98336) = 16

We will now calculate the prime factors of 98320 and 98336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98320 and 98336.

How to find the GCF of 98320 and 98336?

We will first find the prime factorization of 98320 and 98336. After we will calculate the factors of 98320 and 98336 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 98336

Prime factors of 98336 are 2, 7, 439. Prime factorization of 98336 in exponential form is:

98336 = 2⁵ × 7¹ × 439¹

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 98336

List of positive integer factors of 98336 that divides 98320 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 439, 878, 1756, 3073, 3512, 6146, 7024, 12292, 14048, 24584, 49168

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98320 and 98336. The biggest common factor number is the GCF number.
So the greatest common factor 98320 and 98336 is 16.

Also check out the Least Common Multiple of 98320 and 98336