What is the Greatest Common Factor of 66555 and 66560?

Greatest common factor (GCF) of 66555 and 66560 is 5.

GCF(66555,66560) = 5

We will now calculate the prime factors of 66555 and 66560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66555 and 66560.

How to find the GCF of 66555 and 66560?

We will first find the prime factorization of 66555 and 66560. After we will calculate the factors of 66555 and 66560 and find the biggest common factor number .

Step-1: Prime Factorization of 66555

Prime factors of 66555 are 3, 5, 17, 29. Prime factorization of 66555 in exponential form is:

66555 = 3³ × 5¹ × 17¹ × 29¹

Step-2: Prime Factorization of 66560

Prime factors of 66560 are 2, 5, 13. Prime factorization of 66560 in exponential form is:

66560 = 2¹⁰ × 5¹ × 13¹

Step-3: Factors of 66555

List of positive integer factors of 66555 that divides 66555 without a remainder.

1, 3, 5, 9, 15, 17, 27, 29, 45, 51, 85, 87, 135, 145, 153, 255, 261, 435, 459, 493, 765, 783, 1305, 1479, 2295, 2465, 3915, 4437, 7395, 13311, 22185

Step-4: Factors of 66560

List of positive integer factors of 66560 that divides 66555 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 52, 64, 65, 80, 104, 128, 130, 160, 208, 256, 260, 320, 416, 512, 520, 640, 832, 1024, 1040, 1280, 1664, 2080, 2560, 3328, 4160, 5120, 6656, 8320, 13312, 16640, 33280

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66555 and 66560. The biggest common factor number is the GCF number.
So the greatest common factor 66555 and 66560 is 5.

Also check out the Least Common Multiple of 66555 and 66560