What is the Greatest Common Factor of 98023 and 98032?

Greatest common factor (GCF) of 98023 and 98032 is 1.

GCF(98023,98032) = 1

We will now calculate the prime factors of 98023 and 98032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98023 and 98032.

How to find the GCF of 98023 and 98032?

We will first find the prime factorization of 98023 and 98032. After we will calculate the factors of 98023 and 98032 and find the biggest common factor number .

Step-1: Prime Factorization of 98023

Prime factors of 98023 are 83, 1181. Prime factorization of 98023 in exponential form is:

98023 = 83¹ × 1181¹

Step-2: Prime Factorization of 98032

Prime factors of 98032 are 2, 11, 557. Prime factorization of 98032 in exponential form is:

98032 = 2⁴ × 11¹ × 557¹

Step-3: Factors of 98023

List of positive integer factors of 98023 that divides 98023 without a remainder.

1, 83, 1181

Step-4: Factors of 98032

List of positive integer factors of 98032 that divides 98023 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 557, 1114, 2228, 4456, 6127, 8912, 12254, 24508, 49016

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98023 and 98032. The biggest common factor number is the GCF number.
So the greatest common factor 98023 and 98032 is 1.

Also check out the Least Common Multiple of 98023 and 98032