What is the Greatest Common Factor of 34503 and 34521?

Greatest common factor (GCF) of 34503 and 34521 is 3.

GCF(34503,34521) = 3

We will now calculate the prime factors of 34503 and 34521, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34503 and 34521.

How to find the GCF of 34503 and 34521?

We will first find the prime factorization of 34503 and 34521. After we will calculate the factors of 34503 and 34521 and find the biggest common factor number .

Step-1: Prime Factorization of 34503

Prime factors of 34503 are 3, 7, 31, 53. Prime factorization of 34503 in exponential form is:

34503 = 3¹ × 7¹ × 31¹ × 53¹

Step-2: Prime Factorization of 34521

Prime factors of 34521 are 3, 37, 311. Prime factorization of 34521 in exponential form is:

34521 = 3¹ × 37¹ × 311¹

Step-3: Factors of 34503

List of positive integer factors of 34503 that divides 34503 without a remainder.

1, 3, 7, 21, 31, 53, 93, 159, 217, 371, 651, 1113, 1643, 4929, 11501

Step-4: Factors of 34521

List of positive integer factors of 34521 that divides 34503 without a remainder.

1, 3, 37, 111, 311, 933, 11507

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34503 and 34521. The biggest common factor number is the GCF number.
So the greatest common factor 34503 and 34521 is 3.

Also check out the Least Common Multiple of 34503 and 34521