What is the Greatest Common Factor of 66255 and 66264?

Greatest common factor (GCF) of 66255 and 66264 is 3.

GCF(66255,66264) = 3

We will now calculate the prime factors of 66255 and 66264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66255 and 66264.

How to find the GCF of 66255 and 66264?

We will first find the prime factorization of 66255 and 66264. After we will calculate the factors of 66255 and 66264 and find the biggest common factor number .

Step-1: Prime Factorization of 66255

Prime factors of 66255 are 3, 5, 7, 631. Prime factorization of 66255 in exponential form is:

66255 = 3¹ × 5¹ × 7¹ × 631¹

Step-2: Prime Factorization of 66264

Prime factors of 66264 are 2, 3, 11, 251. Prime factorization of 66264 in exponential form is:

66264 = 2³ × 3¹ × 11¹ × 251¹

Step-3: Factors of 66255

List of positive integer factors of 66255 that divides 66255 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 631, 1893, 3155, 4417, 9465, 13251, 22085

Step-4: Factors of 66264

List of positive integer factors of 66264 that divides 66255 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 251, 264, 502, 753, 1004, 1506, 2008, 2761, 3012, 5522, 6024, 8283, 11044, 16566, 22088, 33132

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66255 and 66264. The biggest common factor number is the GCF number.
So the greatest common factor 66255 and 66264 is 3.

Also check out the Least Common Multiple of 66255 and 66264