What is the Greatest Common Factor of 34560 and 34573?

Greatest common factor (GCF) of 34560 and 34573 is 1.

GCF(34560,34573) = 1

We will now calculate the prime factors of 34560 and 34573, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34560 and 34573.

How to find the GCF of 34560 and 34573?

We will first find the prime factorization of 34560 and 34573. After we will calculate the factors of 34560 and 34573 and find the biggest common factor number .

Step-1: Prime Factorization of 34560

Prime factors of 34560 are 2, 3, 5. Prime factorization of 34560 in exponential form is:

34560 = 2⁸ × 3³ × 5¹

Step-2: Prime Factorization of 34573

Prime factors of 34573 are 7, 11, 449. Prime factorization of 34573 in exponential form is:

34573 = 7¹ × 11¹ × 449¹

Step-3: Factors of 34560

List of positive integer factors of 34560 that divides 34560 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 32, 36, 40, 45, 48, 54, 60, 64, 72, 80, 90, 96, 108, 120, 128, 135, 144, 160, 180, 192, 216, 240, 256, 270, 288, 320, 360, 384, 432, 480, 540, 576, 640, 720, 768, 864, 960, 1080, 1152, 1280, 1440, 1728, 1920, 2160, 2304, 2880, 3456, 3840, 4320, 5760, 6912, 8640, 11520, 17280

Step-4: Factors of 34573

List of positive integer factors of 34573 that divides 34560 without a remainder.

1, 7, 11, 77, 449, 3143, 4939

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34560 and 34573. The biggest common factor number is the GCF number.
So the greatest common factor 34560 and 34573 is 1.

Also check out the Least Common Multiple of 34560 and 34573