What is the Greatest Common Factor of 66480 and 66496?

Greatest common factor (GCF) of 66480 and 66496 is 16.

GCF(66480,66496) = 16

We will now calculate the prime factors of 66480 and 66496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66480 and 66496.

How to find the GCF of 66480 and 66496?

We will first find the prime factorization of 66480 and 66496. After we will calculate the factors of 66480 and 66496 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 66496

Prime factors of 66496 are 2, 1039. Prime factorization of 66496 in exponential form is:

66496 = 2⁶ × 1039¹

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 66496

List of positive integer factors of 66496 that divides 66480 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1039, 2078, 4156, 8312, 16624, 33248

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66480 and 66496. The biggest common factor number is the GCF number.
So the greatest common factor 66480 and 66496 is 16.

Also check out the Least Common Multiple of 66480 and 66496