What is the Greatest Common Factor of 34560 and 34567?

Greatest common factor (GCF) of 34560 and 34567 is 1.

GCF(34560,34567) = 1

We will now calculate the prime factors of 34560 and 34567, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34560 and 34567.

How to find the GCF of 34560 and 34567?

We will first find the prime factorization of 34560 and 34567. After we will calculate the factors of 34560 and 34567 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 34567

Prime factors of 34567 are 13, 2659. Prime factorization of 34567 in exponential form is:

34567 = 13¹ × 2659¹

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 34567

List of positive integer factors of 34567 that divides 34560 without a remainder.

1, 13, 2659

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34560 and 34567. The biggest common factor number is the GCF number.
So the greatest common factor 34560 and 34567 is 1.

Also check out the Least Common Multiple of 34560 and 34567