What is the Greatest Common Factor of 80374 and 80378?

Greatest common factor (GCF) of 80374 and 80378 is 2.

GCF(80374,80378) = 2

We will now calculate the prime factors of 80374 and 80378, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80374 and 80378.

How to find the GCF of 80374 and 80378?

We will first find the prime factorization of 80374 and 80378. After we will calculate the factors of 80374 and 80378 and find the biggest common factor number .

Step-1: Prime Factorization of 80374

Prime factors of 80374 are 2, 7, 5741. Prime factorization of 80374 in exponential form is:

80374 = 2¹ × 7¹ × 5741¹

Step-2: Prime Factorization of 80378

Prime factors of 80378 are 2, 40189. Prime factorization of 80378 in exponential form is:

80378 = 2¹ × 40189¹

Step-3: Factors of 80374

List of positive integer factors of 80374 that divides 80374 without a remainder.

1, 2, 7, 14, 5741, 11482, 40187

Step-4: Factors of 80378

List of positive integer factors of 80378 that divides 80374 without a remainder.

1, 2, 40189

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80374 and 80378. The biggest common factor number is the GCF number.
So the greatest common factor 80374 and 80378 is 2.

Also check out the Least Common Multiple of 80374 and 80378