What is the Greatest Common Factor of 34551 and 34560?

Greatest common factor (GCF) of 34551 and 34560 is 9.

GCF(34551,34560) = 9

We will now calculate the prime factors of 34551 and 34560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34551 and 34560.

How to find the GCF of 34551 and 34560?

We will first find the prime factorization of 34551 and 34560. After we will calculate the factors of 34551 and 34560 and find the biggest common factor number .

Step-1: Prime Factorization of 34551

Prime factors of 34551 are 3, 11, 349. Prime factorization of 34551 in exponential form is:

34551 = 3² × 11¹ × 349¹

Step-2: 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-3: Factors of 34551

List of positive integer factors of 34551 that divides 34551 without a remainder.

1, 3, 9, 11, 33, 99, 349, 1047, 3141, 3839, 11517

Step-4: Factors of 34560

List of positive integer factors of 34560 that divides 34551 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34551 and 34560. The biggest common factor number is the GCF number.
So the greatest common factor 34551 and 34560 is 9.

Also check out the Least Common Multiple of 34551 and 34560