What is the Greatest Common Factor of 66480 and 66489?

Greatest common factor (GCF) of 66480 and 66489 is 3.

GCF(66480,66489) = 3

We will now calculate the prime factors of 66480 and 66489, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66480 and 66489.

How to find the GCF of 66480 and 66489?

We will first find the prime factorization of 66480 and 66489. After we will calculate the factors of 66480 and 66489 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 66489

Prime factors of 66489 are 3, 37, 599. Prime factorization of 66489 in exponential form is:

66489 = 3¹ × 37¹ × 599¹

Step-3: Factors of 66480

List of positive integer factors of 66480 that divides 66480 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

Step-4: Factors of 66489

List of positive integer factors of 66489 that divides 66480 without a remainder.

1, 3, 37, 111, 599, 1797, 22163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66480 and 66489. The biggest common factor number is the GCF number.
So the greatest common factor 66480 and 66489 is 3.

Also check out the Least Common Multiple of 66480 and 66489