What is the Greatest Common Factor of 98985 and 99005?

Greatest common factor (GCF) of 98985 and 99005 is 5.

GCF(98985,99005) = 5

We will now calculate the prime factors of 98985 and 99005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98985 and 99005.

How to find the GCF of 98985 and 99005?

We will first find the prime factorization of 98985 and 99005. After we will calculate the factors of 98985 and 99005 and find the biggest common factor number .

Step-1: Prime Factorization of 98985

Prime factors of 98985 are 3, 5, 6599. Prime factorization of 98985 in exponential form is:

98985 = 3¹ × 5¹ × 6599¹

Step-2: Prime Factorization of 99005

Prime factors of 99005 are 5, 19801. Prime factorization of 99005 in exponential form is:

99005 = 5¹ × 19801¹

Step-3: Factors of 98985

List of positive integer factors of 98985 that divides 98985 without a remainder.

1, 3, 5, 15, 6599, 19797, 32995

Step-4: Factors of 99005

List of positive integer factors of 99005 that divides 98985 without a remainder.

1, 5, 19801

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98985 and 99005. The biggest common factor number is the GCF number.
So the greatest common factor 98985 and 99005 is 5.

Also check out the Least Common Multiple of 98985 and 99005