What is the Greatest Common Factor of 98085 and 98105?

Greatest common factor (GCF) of 98085 and 98105 is 5.

GCF(98085,98105) = 5

We will now calculate the prime factors of 98085 and 98105, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98085 and 98105.

How to find the GCF of 98085 and 98105?

We will first find the prime factorization of 98085 and 98105. After we will calculate the factors of 98085 and 98105 and find the biggest common factor number .

Step-1: Prime Factorization of 98085

Prime factors of 98085 are 3, 5, 13, 503. Prime factorization of 98085 in exponential form is:

98085 = 3¹ × 5¹ × 13¹ × 503¹

Step-2: Prime Factorization of 98105

Prime factors of 98105 are 5, 7, 2803. Prime factorization of 98105 in exponential form is:

98105 = 5¹ × 7¹ × 2803¹

Step-3: Factors of 98085

List of positive integer factors of 98085 that divides 98085 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 503, 1509, 2515, 6539, 7545, 19617, 32695

Step-4: Factors of 98105

List of positive integer factors of 98105 that divides 98085 without a remainder.

1, 5, 7, 35, 2803, 14015, 19621

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98085 and 98105. The biggest common factor number is the GCF number.
So the greatest common factor 98085 and 98105 is 5.

Also check out the Least Common Multiple of 98085 and 98105