What is the Greatest Common Factor of 96398 and 96407?

Greatest common factor (GCF) of 96398 and 96407 is 1.

GCF(96398,96407) = 1

We will now calculate the prime factors of 96398 and 96407, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96398 and 96407.

How to find the GCF of 96398 and 96407?

We will first find the prime factorization of 96398 and 96407. After we will calculate the factors of 96398 and 96407 and find the biggest common factor number .

Step-1: Prime Factorization of 96398

Prime factors of 96398 are 2, 157, 307. Prime factorization of 96398 in exponential form is:

96398 = 2¹ × 157¹ × 307¹

Step-2: Prime Factorization of 96407

Prime factors of 96407 are 17, 53, 107. Prime factorization of 96407 in exponential form is:

96407 = 17¹ × 53¹ × 107¹

Step-3: Factors of 96398

List of positive integer factors of 96398 that divides 96398 without a remainder.

1, 2, 157, 307, 314, 614, 48199

Step-4: Factors of 96407

List of positive integer factors of 96407 that divides 96398 without a remainder.

1, 17, 53, 107, 901, 1819, 5671

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96398 and 96407. The biggest common factor number is the GCF number.
So the greatest common factor 96398 and 96407 is 1.

Also check out the Least Common Multiple of 96398 and 96407