What is the Greatest Common Factor of 84508 and 84523?

Greatest common factor (GCF) of 84508 and 84523 is 1.

GCF(84508,84523) = 1

We will now calculate the prime factors of 84508 and 84523, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84508 and 84523.

How to find the GCF of 84508 and 84523?

We will first find the prime factorization of 84508 and 84523. After we will calculate the factors of 84508 and 84523 and find the biggest common factor number .

Step-1: Prime Factorization of 84508

Prime factors of 84508 are 2, 37, 571. Prime factorization of 84508 in exponential form is:

84508 = 2² × 37¹ × 571¹

Step-2: Prime Factorization of 84523

Prime factors of 84523 are 84523. Prime factorization of 84523 in exponential form is:

84523 = 84523¹

Step-3: Factors of 84508

List of positive integer factors of 84508 that divides 84508 without a remainder.

1, 2, 4, 37, 74, 148, 571, 1142, 2284, 21127, 42254

Step-4: Factors of 84523

List of positive integer factors of 84523 that divides 84508 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84508 and 84523. The biggest common factor number is the GCF number.
So the greatest common factor 84508 and 84523 is 1.

Also check out the Least Common Multiple of 84508 and 84523