What is the Greatest Common Factor of 34530 and 34539?

Greatest common factor (GCF) of 34530 and 34539 is 3.

GCF(34530,34539) = 3

We will now calculate the prime factors of 34530 and 34539, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34530 and 34539.

How to find the GCF of 34530 and 34539?

We will first find the prime factorization of 34530 and 34539. After we will calculate the factors of 34530 and 34539 and find the biggest common factor number .

Step-1: Prime Factorization of 34530

Prime factors of 34530 are 2, 3, 5, 1151. Prime factorization of 34530 in exponential form is:

34530 = 2¹ × 3¹ × 5¹ × 1151¹

Step-2: Prime Factorization of 34539

Prime factors of 34539 are 3, 29, 397. Prime factorization of 34539 in exponential form is:

34539 = 3¹ × 29¹ × 397¹

Step-3: Factors of 34530

List of positive integer factors of 34530 that divides 34530 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1151, 2302, 3453, 5755, 6906, 11510, 17265

Step-4: Factors of 34539

List of positive integer factors of 34539 that divides 34530 without a remainder.

1, 3, 29, 87, 397, 1191, 11513

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34530 and 34539. The biggest common factor number is the GCF number.
So the greatest common factor 34530 and 34539 is 3.

Also check out the Least Common Multiple of 34530 and 34539