What is the Greatest Common Factor of 98596 and 98605?

Greatest common factor (GCF) of 98596 and 98605 is 1.

GCF(98596,98605) = 1

We will now calculate the prime factors of 98596 and 98605, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98596 and 98605.

How to find the GCF of 98596 and 98605?

We will first find the prime factorization of 98596 and 98605. After we will calculate the factors of 98596 and 98605 and find the biggest common factor number .

Step-1: Prime Factorization of 98596

Prime factors of 98596 are 2, 157. Prime factorization of 98596 in exponential form is:

98596 = 2² × 157²

Step-2: Prime Factorization of 98605

Prime factors of 98605 are 5, 13, 37, 41. Prime factorization of 98605 in exponential form is:

98605 = 5¹ × 13¹ × 37¹ × 41¹

Step-3: Factors of 98596

List of positive integer factors of 98596 that divides 98596 without a remainder.

1, 2, 4, 157, 314, 628, 24649, 49298

Step-4: Factors of 98605

List of positive integer factors of 98605 that divides 98596 without a remainder.

1, 5, 13, 37, 41, 65, 185, 205, 481, 533, 1517, 2405, 2665, 7585, 19721

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98596 and 98605. The biggest common factor number is the GCF number.
So the greatest common factor 98596 and 98605 is 1.

Also check out the Least Common Multiple of 98596 and 98605