What is the Greatest Common Factor of 78380 and 78397?

Greatest common factor (GCF) of 78380 and 78397 is 1.

GCF(78380,78397) = 1

We will now calculate the prime factors of 78380 and 78397, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78380 and 78397.

How to find the GCF of 78380 and 78397?

We will first find the prime factorization of 78380 and 78397. After we will calculate the factors of 78380 and 78397 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 78397

Prime factors of 78397 are 11, 7127. Prime factorization of 78397 in exponential form is:

78397 = 11¹ × 7127¹

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 78397

List of positive integer factors of 78397 that divides 78380 without a remainder.

1, 11, 7127

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78380 and 78397. The biggest common factor number is the GCF number.
So the greatest common factor 78380 and 78397 is 1.

Also check out the Least Common Multiple of 78380 and 78397