What is the Greatest Common Factor of 78361 and 78379?

Greatest common factor (GCF) of 78361 and 78379 is 1.

GCF(78361,78379) = 1

We will now calculate the prime factors of 78361 and 78379, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78361 and 78379.

How to find the GCF of 78361 and 78379?

We will first find the prime factorization of 78361 and 78379. After we will calculate the factors of 78361 and 78379 and find the biggest common factor number .

Step-1: Prime Factorization of 78361

Prime factors of 78361 are 23, 3407. Prime factorization of 78361 in exponential form is:

78361 = 23¹ × 3407¹

Step-2: Prime Factorization of 78379

Prime factors of 78379 are 7, 11197. Prime factorization of 78379 in exponential form is:

78379 = 7¹ × 11197¹

Step-3: Factors of 78361

List of positive integer factors of 78361 that divides 78361 without a remainder.

1, 23, 3407

Step-4: Factors of 78379

List of positive integer factors of 78379 that divides 78361 without a remainder.

1, 7, 11197

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78361 and 78379. The biggest common factor number is the GCF number.
So the greatest common factor 78361 and 78379 is 1.

Also check out the Least Common Multiple of 78361 and 78379