What is the Greatest Common Factor of 78380 and 78389?

Greatest common factor (GCF) of 78380 and 78389 is 1.

GCF(78380,78389) = 1

We will now calculate the prime factors of 78380 and 78389, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78380 and 78389.

How to find the GCF of 78380 and 78389?

We will first find the prime factorization of 78380 and 78389. After we will calculate the factors of 78380 and 78389 and find the biggest common factor number .

Step-1: Prime Factorization of 78380

Prime factors of 78380 are 2, 5, 3919. Prime factorization of 78380 in exponential form is:

78380 = 2² × 5¹ × 3919¹

Step-2: Prime Factorization of 78389

Prime factors of 78389 are 43, 1823. Prime factorization of 78389 in exponential form is:

78389 = 43¹ × 1823¹

Step-3: Factors of 78380

List of positive integer factors of 78380 that divides 78380 without a remainder.

1, 2, 4, 5, 10, 20, 3919, 7838, 15676, 19595, 39190

Step-4: Factors of 78389

List of positive integer factors of 78389 that divides 78380 without a remainder.

1, 43, 1823

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78380 and 78389. The biggest common factor number is the GCF number.
So the greatest common factor 78380 and 78389 is 1.

Also check out the Least Common Multiple of 78380 and 78389