What is the Greatest Common Factor of 80674 and 80678?

Greatest common factor (GCF) of 80674 and 80678 is 2.

GCF(80674,80678) = 2

We will now calculate the prime factors of 80674 and 80678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80674 and 80678.

How to find the GCF of 80674 and 80678?

We will first find the prime factorization of 80674 and 80678. After we will calculate the factors of 80674 and 80678 and find the biggest common factor number .

Step-1: Prime Factorization of 80674

Prime factors of 80674 are 2, 11, 19, 193. Prime factorization of 80674 in exponential form is:

80674 = 2¹ × 11¹ × 19¹ × 193¹

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 80674

List of positive integer factors of 80674 that divides 80674 without a remainder.

1, 2, 11, 19, 22, 38, 193, 209, 386, 418, 2123, 3667, 4246, 7334, 40337

Step-4: Factors of 80678

List of positive integer factors of 80678 that divides 80674 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 80674 and 80678. The biggest common factor number is the GCF number.
So the greatest common factor 80674 and 80678 is 2.

Also check out the Least Common Multiple of 80674 and 80678