What is the Greatest Common Factor of 66249 and 66264?

Greatest common factor (GCF) of 66249 and 66264 is 3.

GCF(66249,66264) = 3

We will now calculate the prime factors of 66249 and 66264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66249 and 66264.

How to find the GCF of 66249 and 66264?

We will first find the prime factorization of 66249 and 66264. After we will calculate the factors of 66249 and 66264 and find the biggest common factor number .

Step-1: Prime Factorization of 66249

Prime factors of 66249 are 3, 17, 433. Prime factorization of 66249 in exponential form is:

66249 = 3² × 17¹ × 433¹

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 66249

List of positive integer factors of 66249 that divides 66249 without a remainder.

1, 3, 9, 17, 51, 153, 433, 1299, 3897, 7361, 22083

Step-4: Factors of 66264

List of positive integer factors of 66264 that divides 66249 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 66249 and 66264. The biggest common factor number is the GCF number.
So the greatest common factor 66249 and 66264 is 3.

Also check out the Least Common Multiple of 66249 and 66264