What is the Greatest Common Factor of 34545 and 34559?

Greatest common factor (GCF) of 34545 and 34559 is 7.

GCF(34545,34559) = 7

We will now calculate the prime factors of 34545 and 34559, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34545 and 34559.

How to find the GCF of 34545 and 34559?

We will first find the prime factorization of 34545 and 34559. After we will calculate the factors of 34545 and 34559 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 34559

Prime factors of 34559 are 7, 4937. Prime factorization of 34559 in exponential form is:

34559 = 7¹ × 4937¹

Step-3: Factors of 34545

List of positive integer factors of 34545 that divides 34545 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

Step-4: Factors of 34559

List of positive integer factors of 34559 that divides 34545 without a remainder.

1, 7, 4937

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34545 and 34559. The biggest common factor number is the GCF number.
So the greatest common factor 34545 and 34559 is 7.

Also check out the Least Common Multiple of 34545 and 34559