What is the Greatest Common Factor of 66555 and 66565?

Greatest common factor (GCF) of 66555 and 66565 is 5.

GCF(66555,66565) = 5

We will now calculate the prime factors of 66555 and 66565, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66555 and 66565.

How to find the GCF of 66555 and 66565?

We will first find the prime factorization of 66555 and 66565. After we will calculate the factors of 66555 and 66565 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 66565

Prime factors of 66565 are 5, 13313. Prime factorization of 66565 in exponential form is:

66565 = 5¹ × 13313¹

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 66565

List of positive integer factors of 66565 that divides 66555 without a remainder.

1, 5, 13313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66555 and 66565. The biggest common factor number is the GCF number.
So the greatest common factor 66555 and 66565 is 5.

Also check out the Least Common Multiple of 66555 and 66565