What is the Greatest Common Factor of 80380 and 80394?

Greatest common factor (GCF) of 80380 and 80394 is 2.

GCF(80380,80394) = 2

We will now calculate the prime factors of 80380 and 80394, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80380 and 80394.

How to find the GCF of 80380 and 80394?

We will first find the prime factorization of 80380 and 80394. After we will calculate the factors of 80380 and 80394 and find the biggest common factor number .

Step-1: Prime Factorization of 80380

Prime factors of 80380 are 2, 5, 4019. Prime factorization of 80380 in exponential form is:

80380 = 2² × 5¹ × 4019¹

Step-2: Prime Factorization of 80394

Prime factors of 80394 are 2, 3, 13399. Prime factorization of 80394 in exponential form is:

80394 = 2¹ × 3¹ × 13399¹

Step-3: Factors of 80380

List of positive integer factors of 80380 that divides 80380 without a remainder.

1, 2, 4, 5, 10, 20, 4019, 8038, 16076, 20095, 40190

Step-4: Factors of 80394

List of positive integer factors of 80394 that divides 80380 without a remainder.

1, 2, 3, 6, 13399, 26798, 40197

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80380 and 80394. The biggest common factor number is the GCF number.
So the greatest common factor 80380 and 80394 is 2.

Also check out the Least Common Multiple of 80380 and 80394