What is the Greatest Common Factor of 34466 and 34485?

Greatest common factor (GCF) of 34466 and 34485 is 19.

GCF(34466,34485) = 19

We will now calculate the prime factors of 34466 and 34485, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34466 and 34485.

How to find the GCF of 34466 and 34485?

We will first find the prime factorization of 34466 and 34485. After we will calculate the factors of 34466 and 34485 and find the biggest common factor number .

Step-1: Prime Factorization of 34466

Prime factors of 34466 are 2, 19, 907. Prime factorization of 34466 in exponential form is:

34466 = 2¹ × 19¹ × 907¹

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 34466

List of positive integer factors of 34466 that divides 34466 without a remainder.

1, 2, 19, 38, 907, 1814, 17233

Step-4: Factors of 34485

List of positive integer factors of 34485 that divides 34466 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 34466 and 34485. The biggest common factor number is the GCF number.
So the greatest common factor 34466 and 34485 is 19.

Also check out the Least Common Multiple of 34466 and 34485