What is the Greatest Common Factor of 34515 and 34528?

Greatest common factor (GCF) of 34515 and 34528 is 13.

GCF(34515,34528) = 13

We will now calculate the prime factors of 34515 and 34528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34515 and 34528.

How to find the GCF of 34515 and 34528?

We will first find the prime factorization of 34515 and 34528. After we will calculate the factors of 34515 and 34528 and find the biggest common factor number .

Step-1: Prime Factorization of 34515

Prime factors of 34515 are 3, 5, 13, 59. Prime factorization of 34515 in exponential form is:

34515 = 3² × 5¹ × 13¹ × 59¹

Step-2: Prime Factorization of 34528

Prime factors of 34528 are 2, 13, 83. Prime factorization of 34528 in exponential form is:

34528 = 2⁵ × 13¹ × 83¹

Step-3: Factors of 34515

List of positive integer factors of 34515 that divides 34515 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 59, 65, 117, 177, 195, 295, 531, 585, 767, 885, 2301, 2655, 3835, 6903, 11505

Step-4: Factors of 34528

List of positive integer factors of 34528 that divides 34515 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 83, 104, 166, 208, 332, 416, 664, 1079, 1328, 2158, 2656, 4316, 8632, 17264

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34515 and 34528. The biggest common factor number is the GCF number.
So the greatest common factor 34515 and 34528 is 13.

Also check out the Least Common Multiple of 34515 and 34528