What is the Greatest Common Factor of 98075 and 98082?

Greatest common factor (GCF) of 98075 and 98082 is 1.

GCF(98075,98082) = 1

We will now calculate the prime factors of 98075 and 98082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98075 and 98082.

How to find the GCF of 98075 and 98082?

We will first find the prime factorization of 98075 and 98082. After we will calculate the factors of 98075 and 98082 and find the biggest common factor number .

Step-1: Prime Factorization of 98075

Prime factors of 98075 are 5, 3923. Prime factorization of 98075 in exponential form is:

98075 = 5² × 3923¹

Step-2: 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-3: Factors of 98075

List of positive integer factors of 98075 that divides 98075 without a remainder.

1, 5, 25, 3923, 19615

Step-4: Factors of 98082

List of positive integer factors of 98082 that divides 98075 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98075 and 98082. The biggest common factor number is the GCF number.
So the greatest common factor 98075 and 98082 is 1.

Also check out the Least Common Multiple of 98075 and 98082