What is the Greatest Common Factor of 34553 and 34560?

Greatest common factor (GCF) of 34553 and 34560 is 1.

GCF(34553,34560) = 1

We will now calculate the prime factors of 34553 and 34560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34553 and 34560.

How to find the GCF of 34553 and 34560?

We will first find the prime factorization of 34553 and 34560. After we will calculate the factors of 34553 and 34560 and find the biggest common factor number .

Step-1: Prime Factorization of 34553

Prime factors of 34553 are 109, 317. Prime factorization of 34553 in exponential form is:

34553 = 109¹ × 317¹

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 34553

List of positive integer factors of 34553 that divides 34553 without a remainder.

1, 109, 317

Step-4: Factors of 34560

List of positive integer factors of 34560 that divides 34553 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 34553 and 34560. The biggest common factor number is the GCF number.
So the greatest common factor 34553 and 34560 is 1.

Also check out the Least Common Multiple of 34553 and 34560