What is the Greatest Common Factor of 66468 and 66480?

Greatest common factor (GCF) of 66468 and 66480 is 12.

GCF(66468,66480) = 12

We will now calculate the prime factors of 66468 and 66480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66468 and 66480.

How to find the GCF of 66468 and 66480?

We will first find the prime factorization of 66468 and 66480. After we will calculate the factors of 66468 and 66480 and find the biggest common factor number .

Step-1: Prime Factorization of 66468

Prime factors of 66468 are 2, 3, 29, 191. Prime factorization of 66468 in exponential form is:

66468 = 2² × 3¹ × 29¹ × 191¹

Step-2: Prime Factorization of 66480

Prime factors of 66480 are 2, 3, 5, 277. Prime factorization of 66480 in exponential form is:

66480 = 2⁴ × 3¹ × 5¹ × 277¹

Step-3: Factors of 66468

List of positive integer factors of 66468 that divides 66468 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 191, 348, 382, 573, 764, 1146, 2292, 5539, 11078, 16617, 22156, 33234

Step-4: Factors of 66480

List of positive integer factors of 66480 that divides 66468 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240, 277, 554, 831, 1108, 1385, 1662, 2216, 2770, 3324, 4155, 4432, 5540, 6648, 8310, 11080, 13296, 16620, 22160, 33240

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66468 and 66480. The biggest common factor number is the GCF number.
So the greatest common factor 66468 and 66480 is 12.

Also check out the Least Common Multiple of 66468 and 66480