What is the Greatest Common Factor of 66538 and 66555?

Greatest common factor (GCF) of 66538 and 66555 is 17.

GCF(66538,66555) = 17

We will now calculate the prime factors of 66538 and 66555, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66538 and 66555.

How to find the GCF of 66538 and 66555?

We will first find the prime factorization of 66538 and 66555. After we will calculate the factors of 66538 and 66555 and find the biggest common factor number .

Step-1: Prime Factorization of 66538

Prime factors of 66538 are 2, 17, 19, 103. Prime factorization of 66538 in exponential form is:

66538 = 2¹ × 17¹ × 19¹ × 103¹

Step-2: 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-3: Factors of 66538

List of positive integer factors of 66538 that divides 66538 without a remainder.

1, 2, 17, 19, 34, 38, 103, 206, 323, 646, 1751, 1957, 3502, 3914, 33269

Step-4: Factors of 66555

List of positive integer factors of 66555 that divides 66538 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66538 and 66555. The biggest common factor number is the GCF number.
So the greatest common factor 66538 and 66555 is 17.

Also check out the Least Common Multiple of 66538 and 66555