What is the Greatest Common Factor of 80674 and 80688?

Greatest common factor (GCF) of 80674 and 80688 is 2.

GCF(80674,80688) = 2

We will now calculate the prime factors of 80674 and 80688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80674 and 80688.

How to find the GCF of 80674 and 80688?

We will first find the prime factorization of 80674 and 80688. After we will calculate the factors of 80674 and 80688 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 80688

Prime factors of 80688 are 2, 3, 41. Prime factorization of 80688 in exponential form is:

80688 = 2⁴ × 3¹ × 41²

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 80688

List of positive integer factors of 80688 that divides 80674 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 41, 48, 82, 123, 164, 246, 328, 492, 656, 984, 1681, 1968, 3362, 5043, 6724, 10086, 13448, 20172, 26896, 40344

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80674 and 80688. The biggest common factor number is the GCF number.
So the greatest common factor 80674 and 80688 is 2.

Also check out the Least Common Multiple of 80674 and 80688