What is the Greatest Common Factor of 80374 and 80386?

Greatest common factor (GCF) of 80374 and 80386 is 2.

GCF(80374,80386) = 2

We will now calculate the prime factors of 80374 and 80386, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80374 and 80386.

How to find the GCF of 80374 and 80386?

We will first find the prime factorization of 80374 and 80386. After we will calculate the factors of 80374 and 80386 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 80386

Prime factors of 80386 are 2, 40193. Prime factorization of 80386 in exponential form is:

80386 = 2¹ × 40193¹

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 80386

List of positive integer factors of 80386 that divides 80374 without a remainder.

1, 2, 40193

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80374 and 80386. The biggest common factor number is the GCF number.
So the greatest common factor 80374 and 80386 is 2.

Also check out the Least Common Multiple of 80374 and 80386