What is the Greatest Common Factor of 34474 and 34485?

Greatest common factor (GCF) of 34474 and 34485 is 11.

GCF(34474,34485) = 11

We will now calculate the prime factors of 34474 and 34485, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34474 and 34485.

How to find the GCF of 34474 and 34485?

We will first find the prime factorization of 34474 and 34485. After we will calculate the factors of 34474 and 34485 and find the biggest common factor number .

Step-1: Prime Factorization of 34474

Prime factors of 34474 are 2, 11, 1567. Prime factorization of 34474 in exponential form is:

34474 = 2¹ × 11¹ × 1567¹

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 34474

List of positive integer factors of 34474 that divides 34474 without a remainder.

1, 2, 11, 22, 1567, 3134, 17237

Step-4: Factors of 34485

List of positive integer factors of 34485 that divides 34474 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 34474 and 34485. The biggest common factor number is the GCF number.
So the greatest common factor 34474 and 34485 is 11.

Also check out the Least Common Multiple of 34474 and 34485