What is the Greatest Common Factor of 80374 and 80384?

Greatest common factor (GCF) of 80374 and 80384 is 2.

GCF(80374,80384) = 2

We will now calculate the prime factors of 80374 and 80384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80374 and 80384.

How to find the GCF of 80374 and 80384?

We will first find the prime factorization of 80374 and 80384. After we will calculate the factors of 80374 and 80384 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 80384

Prime factors of 80384 are 2, 157. Prime factorization of 80384 in exponential form is:

80384 = 2⁹ × 157¹

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 80384

List of positive integer factors of 80384 that divides 80374 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 157, 256, 314, 512, 628, 1256, 2512, 5024, 10048, 20096, 40192

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80374 and 80384. The biggest common factor number is the GCF number.
So the greatest common factor 80374 and 80384 is 2.

Also check out the Least Common Multiple of 80374 and 80384