What is the Greatest Common Factor of 66480 and 66487?

Greatest common factor (GCF) of 66480 and 66487 is 1.

GCF(66480,66487) = 1

We will now calculate the prime factors of 66480 and 66487, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66480 and 66487.

How to find the GCF of 66480 and 66487?

We will first find the prime factorization of 66480 and 66487. After we will calculate the factors of 66480 and 66487 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 66487

Prime factors of 66487 are 17, 3911. Prime factorization of 66487 in exponential form is:

66487 = 17¹ × 3911¹

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 66487

List of positive integer factors of 66487 that divides 66480 without a remainder.

1, 17, 3911

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66480 and 66487. The biggest common factor number is the GCF number.
So the greatest common factor 66480 and 66487 is 1.

Also check out the Least Common Multiple of 66480 and 66487