What is the Greatest Common Factor of 98085 and 98090?

Greatest common factor (GCF) of 98085 and 98090 is 5.

GCF(98085,98090) = 5

We will now calculate the prime factors of 98085 and 98090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98085 and 98090.

How to find the GCF of 98085 and 98090?

We will first find the prime factorization of 98085 and 98090. After we will calculate the factors of 98085 and 98090 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 98090

Prime factors of 98090 are 2, 5, 17, 577. Prime factorization of 98090 in exponential form is:

98090 = 2¹ × 5¹ × 17¹ × 577¹

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 98090

List of positive integer factors of 98090 that divides 98085 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 577, 1154, 2885, 5770, 9809, 19618, 49045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98085 and 98090. The biggest common factor number is the GCF number.
So the greatest common factor 98085 and 98090 is 5.

Also check out the Least Common Multiple of 98085 and 98090