What is the Greatest Common Factor of 34539 and 34545?

Greatest common factor (GCF) of 34539 and 34545 is 3.

GCF(34539,34545) = 3

We will now calculate the prime factors of 34539 and 34545, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34539 and 34545.

How to find the GCF of 34539 and 34545?

We will first find the prime factorization of 34539 and 34545. After we will calculate the factors of 34539 and 34545 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 34545

Prime factors of 34545 are 3, 5, 7, 47. Prime factorization of 34545 in exponential form is:

34545 = 3¹ × 5¹ × 7² × 47¹

Step-3: Factors of 34539

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

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

Step-4: Factors of 34545

List of positive integer factors of 34545 that divides 34539 without a remainder.

1, 3, 5, 7, 15, 21, 35, 47, 49, 105, 141, 147, 235, 245, 329, 705, 735, 987, 1645, 2303, 4935, 6909, 11515

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34539 and 34545. The biggest common factor number is the GCF number.
So the greatest common factor 34539 and 34545 is 3.

Also check out the Least Common Multiple of 34539 and 34545