What is the Greatest Common Factor of 84504 and 84523?

Greatest common factor (GCF) of 84504 and 84523 is 1.

GCF(84504,84523) = 1

We will now calculate the prime factors of 84504 and 84523, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84504 and 84523.

How to find the GCF of 84504 and 84523?

We will first find the prime factorization of 84504 and 84523. After we will calculate the factors of 84504 and 84523 and find the biggest common factor number .

Step-1: Prime Factorization of 84504

Prime factors of 84504 are 2, 3, 7, 503. Prime factorization of 84504 in exponential form is:

84504 = 2³ × 3¹ × 7¹ × 503¹

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 84504

List of positive integer factors of 84504 that divides 84504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 503, 1006, 1509, 2012, 3018, 3521, 4024, 6036, 7042, 10563, 12072, 14084, 21126, 28168, 42252

Step-4: Factors of 84523

List of positive integer factors of 84523 that divides 84504 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84504 and 84523. The biggest common factor number is the GCF number.
So the greatest common factor 84504 and 84523 is 1.

Also check out the Least Common Multiple of 84504 and 84523