What is the Greatest Common Factor of 98258 and 98275?

Greatest common factor (GCF) of 98258 and 98275 is 1.

GCF(98258,98275) = 1

We will now calculate the prime factors of 98258 and 98275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98258 and 98275.

How to find the GCF of 98258 and 98275?

We will first find the prime factorization of 98258 and 98275. After we will calculate the factors of 98258 and 98275 and find the biggest common factor number .

Step-1: Prime Factorization of 98258

Prime factors of 98258 are 2, 73, 673. Prime factorization of 98258 in exponential form is:

98258 = 2¹ × 73¹ × 673¹

Step-2: Prime Factorization of 98275

Prime factors of 98275 are 5, 3931. Prime factorization of 98275 in exponential form is:

98275 = 5² × 3931¹

Step-3: Factors of 98258

List of positive integer factors of 98258 that divides 98258 without a remainder.

1, 2, 73, 146, 673, 1346, 49129

Step-4: Factors of 98275

List of positive integer factors of 98275 that divides 98258 without a remainder.

1, 5, 25, 3931, 19655

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98258 and 98275. The biggest common factor number is the GCF number.
So the greatest common factor 98258 and 98275 is 1.

Also check out the Least Common Multiple of 98258 and 98275