What is the Greatest Common Factor of 80374 and 80389?

Greatest common factor (GCF) of 80374 and 80389 is 1.

GCF(80374,80389) = 1

We will now calculate the prime factors of 80374 and 80389, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80374 and 80389.

How to find the GCF of 80374 and 80389?

We will first find the prime factorization of 80374 and 80389. After we will calculate the factors of 80374 and 80389 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 80389

Prime factors of 80389 are 19, 4231. Prime factorization of 80389 in exponential form is:

80389 = 19¹ × 4231¹

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 80389

List of positive integer factors of 80389 that divides 80374 without a remainder.

1, 19, 4231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80374 and 80389. The biggest common factor number is the GCF number.
So the greatest common factor 80374 and 80389 is 1.

Also check out the Least Common Multiple of 80374 and 80389