What is the Greatest Common Factor of 84115 and 84123?

Greatest common factor (GCF) of 84115 and 84123 is 1.

GCF(84115,84123) = 1

We will now calculate the prime factors of 84115 and 84123, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84115 and 84123.

How to find the GCF of 84115 and 84123?

We will first find the prime factorization of 84115 and 84123. After we will calculate the factors of 84115 and 84123 and find the biggest common factor number .

Step-1: Prime Factorization of 84115

Prime factors of 84115 are 5, 16823. Prime factorization of 84115 in exponential form is:

84115 = 5¹ × 16823¹

Step-2: Prime Factorization of 84123

Prime factors of 84123 are 3, 13, 719. Prime factorization of 84123 in exponential form is:

84123 = 3² × 13¹ × 719¹

Step-3: Factors of 84115

List of positive integer factors of 84115 that divides 84115 without a remainder.

1, 5, 16823

Step-4: Factors of 84123

List of positive integer factors of 84123 that divides 84115 without a remainder.

1, 3, 9, 13, 39, 117, 719, 2157, 6471, 9347, 28041

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84115 and 84123. The biggest common factor number is the GCF number.
So the greatest common factor 84115 and 84123 is 1.

Also check out the Least Common Multiple of 84115 and 84123