What is the Greatest Common Factor of 66264 and 66275?

Greatest common factor (GCF) of 66264 and 66275 is 11.

GCF(66264,66275) = 11

We will now calculate the prime factors of 66264 and 66275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66264 and 66275.

How to find the GCF of 66264 and 66275?

We will first find the prime factorization of 66264 and 66275. After we will calculate the factors of 66264 and 66275 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 66275

Prime factors of 66275 are 5, 11, 241. Prime factorization of 66275 in exponential form is:

66275 = 5² × 11¹ × 241¹

Step-3: Factors of 66264

List of positive integer factors of 66264 that divides 66264 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

Step-4: Factors of 66275

List of positive integer factors of 66275 that divides 66264 without a remainder.

1, 5, 11, 25, 55, 241, 275, 1205, 2651, 6025, 13255

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66264 and 66275. The biggest common factor number is the GCF number.
So the greatest common factor 66264 and 66275 is 11.

Also check out the Least Common Multiple of 66264 and 66275