What is the Greatest Common Factor of 34523 and 34533?

Greatest common factor (GCF) of 34523 and 34533 is 1.

GCF(34523,34533) = 1

We will now calculate the prime factors of 34523 and 34533, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34523 and 34533.

How to find the GCF of 34523 and 34533?

We will first find the prime factorization of 34523 and 34533. After we will calculate the factors of 34523 and 34533 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 34533

Prime factors of 34533 are 3, 1279. Prime factorization of 34533 in exponential form is:

34533 = 3³ × 1279¹

Step-3: Factors of 34523

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

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

Step-4: Factors of 34533

List of positive integer factors of 34533 that divides 34523 without a remainder.

1, 3, 9, 27, 1279, 3837, 11511

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34523 and 34533. The biggest common factor number is the GCF number.
So the greatest common factor 34523 and 34533 is 1.

Also check out the Least Common Multiple of 34523 and 34533