What is the Greatest Common Factor of 98000 and 98016?

Greatest common factor (GCF) of 98000 and 98016 is 16.

GCF(98000,98016) = 16

We will now calculate the prime factors of 98000 and 98016, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98000 and 98016.

How to find the GCF of 98000 and 98016?

We will first find the prime factorization of 98000 and 98016. After we will calculate the factors of 98000 and 98016 and find the biggest common factor number .

Step-1: Prime Factorization of 98000

Prime factors of 98000 are 2, 5, 7. Prime factorization of 98000 in exponential form is:

98000 = 2⁴ × 5³ × 7²

Step-2: Prime Factorization of 98016

Prime factors of 98016 are 2, 3, 1021. Prime factorization of 98016 in exponential form is:

98016 = 2⁵ × 3¹ × 1021¹

Step-3: Factors of 98000

List of positive integer factors of 98000 that divides 98000 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 35, 40, 49, 50, 56, 70, 80, 98, 100, 112, 125, 140, 175, 196, 200, 245, 250, 280, 350, 392, 400, 490, 500, 560, 700, 784, 875, 980, 1000, 1225, 1400, 1750, 1960, 2000, 2450, 2800, 3500, 3920, 4900, 6125, 7000, 9800, 12250, 14000, 19600, 24500, 49000

Step-4: Factors of 98016

List of positive integer factors of 98016 that divides 98000 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 1021, 2042, 3063, 4084, 6126, 8168, 12252, 16336, 24504, 32672, 49008

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98000 and 98016. The biggest common factor number is the GCF number.
So the greatest common factor 98000 and 98016 is 16.

Also check out the Least Common Multiple of 98000 and 98016