What is the Greatest Common Factor of 80666 and 80672?

Greatest common factor (GCF) of 80666 and 80672 is 2.

GCF(80666,80672) = 2

We will now calculate the prime factors of 80666 and 80672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80666 and 80672.

How to find the GCF of 80666 and 80672?

We will first find the prime factorization of 80666 and 80672. After we will calculate the factors of 80666 and 80672 and find the biggest common factor number .

Step-1: Prime Factorization of 80666

Prime factors of 80666 are 2, 53, 761. Prime factorization of 80666 in exponential form is:

80666 = 2¹ × 53¹ × 761¹

Step-2: Prime Factorization of 80672

Prime factors of 80672 are 2, 2521. Prime factorization of 80672 in exponential form is:

80672 = 2⁵ × 2521¹

Step-3: Factors of 80666

List of positive integer factors of 80666 that divides 80666 without a remainder.

1, 2, 53, 106, 761, 1522, 40333

Step-4: Factors of 80672

List of positive integer factors of 80672 that divides 80666 without a remainder.

1, 2, 4, 8, 16, 32, 2521, 5042, 10084, 20168, 40336

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80666 and 80672. The biggest common factor number is the GCF number.
So the greatest common factor 80666 and 80672 is 2.

Also check out the Least Common Multiple of 80666 and 80672