What is the Greatest Common Factor of 66489 and 66496?

Greatest common factor (GCF) of 66489 and 66496 is 1.

GCF(66489,66496) = 1

We will now calculate the prime factors of 66489 and 66496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66489 and 66496.

How to find the GCF of 66489 and 66496?

We will first find the prime factorization of 66489 and 66496. After we will calculate the factors of 66489 and 66496 and find the biggest common factor number .

Step-1: 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-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 66489

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

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

Step-4: Factors of 66496

List of positive integer factors of 66496 that divides 66489 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 66489 and 66496. The biggest common factor number is the GCF number.
So the greatest common factor 66489 and 66496 is 1.

Also check out the Least Common Multiple of 66489 and 66496