What is the Greatest Common Factor of 98082 and 98090?

Greatest common factor (GCF) of 98082 and 98090 is 2.

GCF(98082,98090) = 2

We will now calculate the prime factors of 98082 and 98090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98082 and 98090.

How to find the GCF of 98082 and 98090?

We will first find the prime factorization of 98082 and 98090. After we will calculate the factors of 98082 and 98090 and find the biggest common factor number .

Step-1: Prime Factorization of 98082

Prime factors of 98082 are 2, 3, 5449. Prime factorization of 98082 in exponential form is:

98082 = 2¹ × 3² × 5449¹

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 98082

List of positive integer factors of 98082 that divides 98082 without a remainder.

1, 2, 3, 6, 9, 18, 5449, 10898, 16347, 32694, 49041

Step-4: Factors of 98090

List of positive integer factors of 98090 that divides 98082 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 98082 and 98090. The biggest common factor number is the GCF number.
So the greatest common factor 98082 and 98090 is 2.

Also check out the Least Common Multiple of 98082 and 98090