What is the Greatest Common Factor of 34504 and 34523?

Greatest common factor (GCF) of 34504 and 34523 is 19.

GCF(34504,34523) = 19

We will now calculate the prime factors of 34504 and 34523, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34504 and 34523.

How to find the GCF of 34504 and 34523?

We will first find the prime factorization of 34504 and 34523. After we will calculate the factors of 34504 and 34523 and find the biggest common factor number .

Step-1: Prime Factorization of 34504

Prime factors of 34504 are 2, 19, 227. Prime factorization of 34504 in exponential form is:

34504 = 2³ × 19¹ × 227¹

Step-2: Prime Factorization of 34523

Prime factors of 34523 are 19, 23, 79. Prime factorization of 34523 in exponential form is:

34523 = 19¹ × 23¹ × 79¹

Step-3: Factors of 34504

List of positive integer factors of 34504 that divides 34504 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 227, 454, 908, 1816, 4313, 8626, 17252

Step-4: Factors of 34523

List of positive integer factors of 34523 that divides 34504 without a remainder.

1, 19, 23, 79, 437, 1501, 1817

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34504 and 34523. The biggest common factor number is the GCF number.
So the greatest common factor 34504 and 34523 is 19.

Also check out the Least Common Multiple of 34504 and 34523