What is the Greatest Common Factor of 98201 and 98215?

Greatest common factor (GCF) of 98201 and 98215 is 1.

GCF(98201,98215) = 1

We will now calculate the prime factors of 98201 and 98215, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98201 and 98215.

How to find the GCF of 98201 and 98215?

We will first find the prime factorization of 98201 and 98215. After we will calculate the factors of 98201 and 98215 and find the biggest common factor number .

Step-1: Prime Factorization of 98201

Prime factors of 98201 are 283, 347. Prime factorization of 98201 in exponential form is:

98201 = 283¹ × 347¹

Step-2: Prime Factorization of 98215

Prime factors of 98215 are 5, 13, 1511. Prime factorization of 98215 in exponential form is:

98215 = 5¹ × 13¹ × 1511¹

Step-3: Factors of 98201

List of positive integer factors of 98201 that divides 98201 without a remainder.

1, 283, 347

Step-4: Factors of 98215

List of positive integer factors of 98215 that divides 98201 without a remainder.

1, 5, 13, 65, 1511, 7555, 19643

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98201 and 98215. The biggest common factor number is the GCF number.
So the greatest common factor 98201 and 98215 is 1.

Also check out the Least Common Multiple of 98201 and 98215