What is the Greatest Common Factor of 80678 and 80686?

Greatest common factor (GCF) of 80678 and 80686 is 2.

GCF(80678,80686) = 2

We will now calculate the prime factors of 80678 and 80686, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80678 and 80686.

How to find the GCF of 80678 and 80686?

We will first find the prime factorization of 80678 and 80686. After we will calculate the factors of 80678 and 80686 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 80686

Prime factors of 80686 are 2, 40343. Prime factorization of 80686 in exponential form is:

80686 = 2¹ × 40343¹

Step-3: Factors of 80678

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

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

Step-4: Factors of 80686

List of positive integer factors of 80686 that divides 80678 without a remainder.

1, 2, 40343

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80678 and 80686. The biggest common factor number is the GCF number.
So the greatest common factor 80678 and 80686 is 2.

Also check out the Least Common Multiple of 80678 and 80686