What is the Greatest Common Factor of 98623 and 98627?

Greatest common factor (GCF) of 98623 and 98627 is 1.

GCF(98623,98627) = 1

We will now calculate the prime factors of 98623 and 98627, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98623 and 98627.

How to find the GCF of 98623 and 98627?

We will first find the prime factorization of 98623 and 98627. After we will calculate the factors of 98623 and 98627 and find the biggest common factor number .

Step-1: Prime Factorization of 98623

Prime factors of 98623 are 7, 73, 193. Prime factorization of 98623 in exponential form is:

98623 = 7¹ × 73¹ × 193¹

Step-2: Prime Factorization of 98627

Prime factors of 98627 are 98627. Prime factorization of 98627 in exponential form is:

98627 = 98627¹

Step-3: Factors of 98623

List of positive integer factors of 98623 that divides 98623 without a remainder.

1, 7, 73, 193, 511, 1351, 14089

Step-4: Factors of 98627

List of positive integer factors of 98627 that divides 98623 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98623 and 98627. The biggest common factor number is the GCF number.
So the greatest common factor 98623 and 98627 is 1.

Also check out the Least Common Multiple of 98623 and 98627