What is the Greatest Common Factor of 98194 and 98200?

Greatest common factor (GCF) of 98194 and 98200 is 2.

GCF(98194,98200) = 2

We will now calculate the prime factors of 98194 and 98200, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98194 and 98200.

How to find the GCF of 98194 and 98200?

We will first find the prime factorization of 98194 and 98200. After we will calculate the factors of 98194 and 98200 and find the biggest common factor number .

Step-1: Prime Factorization of 98194

Prime factors of 98194 are 2, 29, 1693. Prime factorization of 98194 in exponential form is:

98194 = 2¹ × 29¹ × 1693¹

Step-2: 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-3: Factors of 98194

List of positive integer factors of 98194 that divides 98194 without a remainder.

1, 2, 29, 58, 1693, 3386, 49097

Step-4: Factors of 98200

List of positive integer factors of 98200 that divides 98194 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98194 and 98200. The biggest common factor number is the GCF number.
So the greatest common factor 98194 and 98200 is 2.

Also check out the Least Common Multiple of 98194 and 98200