What is the Greatest Common Factor of 84507 and 84523?

Greatest common factor (GCF) of 84507 and 84523 is 1.

GCF(84507,84523) = 1

We will now calculate the prime factors of 84507 and 84523, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84507 and 84523.

How to find the GCF of 84507 and 84523?

We will first find the prime factorization of 84507 and 84523. After we will calculate the factors of 84507 and 84523 and find the biggest common factor number .

Step-1: Prime Factorization of 84507

Prime factors of 84507 are 3, 17, 1657. Prime factorization of 84507 in exponential form is:

84507 = 3¹ × 17¹ × 1657¹

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 84507

List of positive integer factors of 84507 that divides 84507 without a remainder.

1, 3, 17, 51, 1657, 4971, 28169

Step-4: Factors of 84523

List of positive integer factors of 84523 that divides 84507 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84507 and 84523. The biggest common factor number is the GCF number.
So the greatest common factor 84507 and 84523 is 1.

Also check out the Least Common Multiple of 84507 and 84523