What is the Greatest Common Factor of 98255 and 98273?

Greatest common factor (GCF) of 98255 and 98273 is 1.

GCF(98255,98273) = 1

We will now calculate the prime factors of 98255 and 98273, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98255 and 98273.

How to find the GCF of 98255 and 98273?

We will first find the prime factorization of 98255 and 98273. After we will calculate the factors of 98255 and 98273 and find the biggest common factor number .

Step-1: Prime Factorization of 98255

Prime factors of 98255 are 5, 43, 457. Prime factorization of 98255 in exponential form is:

98255 = 5¹ × 43¹ × 457¹

Step-2: Prime Factorization of 98273

Prime factors of 98273 are 7, 101, 139. Prime factorization of 98273 in exponential form is:

98273 = 7¹ × 101¹ × 139¹

Step-3: Factors of 98255

List of positive integer factors of 98255 that divides 98255 without a remainder.

1, 5, 43, 215, 457, 2285, 19651

Step-4: Factors of 98273

List of positive integer factors of 98273 that divides 98255 without a remainder.

1, 7, 101, 139, 707, 973, 14039

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98255 and 98273. The biggest common factor number is the GCF number.
So the greatest common factor 98255 and 98273 is 1.

Also check out the Least Common Multiple of 98255 and 98273