What is the Greatest Common Factor of 98200 and 98216?

Greatest common factor (GCF) of 98200 and 98216 is 8.

GCF(98200,98216) = 8

We will now calculate the prime factors of 98200 and 98216, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98200 and 98216.

How to find the GCF of 98200 and 98216?

We will first find the prime factorization of 98200 and 98216. After we will calculate the factors of 98200 and 98216 and find the biggest common factor number .

Step-1: Prime Factorization of 98200

Prime factors of 98200 are 2, 5, 491. Prime factorization of 98200 in exponential form is:

98200 = 2³ × 5² × 491¹

Step-2: Prime Factorization of 98216

Prime factors of 98216 are 2, 12277. Prime factorization of 98216 in exponential form is:

98216 = 2³ × 12277¹

Step-3: Factors of 98200

List of positive integer factors of 98200 that divides 98200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 491, 982, 1964, 2455, 3928, 4910, 9820, 12275, 19640, 24550, 49100

Step-4: Factors of 98216

List of positive integer factors of 98216 that divides 98200 without a remainder.

1, 2, 4, 8, 12277, 24554, 49108

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98200 and 98216. The biggest common factor number is the GCF number.
So the greatest common factor 98200 and 98216 is 8.

Also check out the Least Common Multiple of 98200 and 98216