What is the Greatest Common Factor of 98605 and 98620?

Greatest common factor (GCF) of 98605 and 98620 is 5.

GCF(98605,98620) = 5

We will now calculate the prime factors of 98605 and 98620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98605 and 98620.

How to find the GCF of 98605 and 98620?

We will first find the prime factorization of 98605 and 98620. After we will calculate the factors of 98605 and 98620 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 98620

Prime factors of 98620 are 2, 5, 4931. Prime factorization of 98620 in exponential form is:

98620 = 2² × 5¹ × 4931¹

Step-3: Factors of 98605

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

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

Step-4: Factors of 98620

List of positive integer factors of 98620 that divides 98605 without a remainder.

1, 2, 4, 5, 10, 20, 4931, 9862, 19724, 24655, 49310

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98605 and 98620. The biggest common factor number is the GCF number.
So the greatest common factor 98605 and 98620 is 5.

Also check out the Least Common Multiple of 98605 and 98620