What is the Greatest Common Factor of 98396 and 98407?

Greatest common factor (GCF) of 98396 and 98407 is 1.

GCF(98396,98407) = 1

We will now calculate the prime factors of 98396 and 98407, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98396 and 98407.

How to find the GCF of 98396 and 98407?

We will first find the prime factorization of 98396 and 98407. After we will calculate the factors of 98396 and 98407 and find the biggest common factor number .

Step-1: Prime Factorization of 98396

Prime factors of 98396 are 2, 17, 1447. Prime factorization of 98396 in exponential form is:

98396 = 2² × 17¹ × 1447¹

Step-2: Prime Factorization of 98407

Prime factors of 98407 are 98407. Prime factorization of 98407 in exponential form is:

98407 = 98407¹

Step-3: Factors of 98396

List of positive integer factors of 98396 that divides 98396 without a remainder.

1, 2, 4, 17, 34, 68, 1447, 2894, 5788, 24599, 49198

Step-4: Factors of 98407

List of positive integer factors of 98407 that divides 98396 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98396 and 98407. The biggest common factor number is the GCF number.
So the greatest common factor 98396 and 98407 is 1.

Also check out the Least Common Multiple of 98396 and 98407