What is the Greatest Common Factor of 80672 and 80678?

Greatest common factor (GCF) of 80672 and 80678 is 2.

GCF(80672,80678) = 2

We will now calculate the prime factors of 80672 and 80678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80672 and 80678.

How to find the GCF of 80672 and 80678?

We will first find the prime factorization of 80672 and 80678. After we will calculate the factors of 80672 and 80678 and find the biggest common factor number .

Step-1: Prime Factorization of 80672

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

80672 = 2⁵ × 2521¹

Step-2: Prime Factorization of 80678

Prime factors of 80678 are 2, 13, 29, 107. Prime factorization of 80678 in exponential form is:

80678 = 2¹ × 13¹ × 29¹ × 107¹

Step-3: Factors of 80672

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

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

Step-4: Factors of 80678

List of positive integer factors of 80678 that divides 80672 without a remainder.

1, 2, 13, 26, 29, 58, 107, 214, 377, 754, 1391, 2782, 3103, 6206, 40339

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80672 and 80678. The biggest common factor number is the GCF number.
So the greatest common factor 80672 and 80678 is 2.

Also check out the Least Common Multiple of 80672 and 80678