What is the Greatest Common Factor of 34470 and 34485?

Greatest common factor (GCF) of 34470 and 34485 is 15.

GCF(34470,34485) = 15

We will now calculate the prime factors of 34470 and 34485, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34470 and 34485.

How to find the GCF of 34470 and 34485?

We will first find the prime factorization of 34470 and 34485. After we will calculate the factors of 34470 and 34485 and find the biggest common factor number .

Step-1: Prime Factorization of 34470

Prime factors of 34470 are 2, 3, 5, 383. Prime factorization of 34470 in exponential form is:

34470 = 2¹ × 3² × 5¹ × 383¹

Step-2: Prime Factorization of 34485

Prime factors of 34485 are 3, 5, 11, 19. Prime factorization of 34485 in exponential form is:

34485 = 3¹ × 5¹ × 11² × 19¹

Step-3: Factors of 34470

List of positive integer factors of 34470 that divides 34470 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 383, 766, 1149, 1915, 2298, 3447, 3830, 5745, 6894, 11490, 17235

Step-4: Factors of 34485

List of positive integer factors of 34485 that divides 34470 without a remainder.

1, 3, 5, 11, 15, 19, 33, 55, 57, 95, 121, 165, 209, 285, 363, 605, 627, 1045, 1815, 2299, 3135, 6897, 11495

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34470 and 34485. The biggest common factor number is the GCF number.
So the greatest common factor 34470 and 34485 is 15.

Also check out the Least Common Multiple of 34470 and 34485