What is the Greatest Common Factor of 34485 and 34496?

Greatest common factor (GCF) of 34485 and 34496 is 11.

GCF(34485,34496) = 11

We will now calculate the prime factors of 34485 and 34496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34485 and 34496.

How to find the GCF of 34485 and 34496?

We will first find the prime factorization of 34485 and 34496. After we will calculate the factors of 34485 and 34496 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 34496

Prime factors of 34496 are 2, 7, 11. Prime factorization of 34496 in exponential form is:

34496 = 2⁶ × 7² × 11¹

Step-3: Factors of 34485

List of positive integer factors of 34485 that divides 34485 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

Step-4: Factors of 34496

List of positive integer factors of 34496 that divides 34485 without a remainder.

1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44, 49, 56, 64, 77, 88, 98, 112, 154, 176, 196, 224, 308, 352, 392, 448, 539, 616, 704, 784, 1078, 1232, 1568, 2156, 2464, 3136, 4312, 4928, 8624, 17248

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34485 and 34496. The biggest common factor number is the GCF number.
So the greatest common factor 34485 and 34496 is 11.

Also check out the Least Common Multiple of 34485 and 34496