What is the Greatest Common Factor of 78379 and 78393?

Greatest common factor (GCF) of 78379 and 78393 is 7.

GCF(78379,78393) = 7

We will now calculate the prime factors of 78379 and 78393, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78379 and 78393.

How to find the GCF of 78379 and 78393?

We will first find the prime factorization of 78379 and 78393. After we will calculate the factors of 78379 and 78393 and find the biggest common factor number .

Step-1: Prime Factorization of 78379

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

78379 = 7¹ × 11197¹

Step-2: Prime Factorization of 78393

Prime factors of 78393 are 3, 7, 3733. Prime factorization of 78393 in exponential form is:

78393 = 3¹ × 7¹ × 3733¹

Step-3: Factors of 78379

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

1, 7, 11197

Step-4: Factors of 78393

List of positive integer factors of 78393 that divides 78379 without a remainder.

1, 3, 7, 21, 3733, 11199, 26131

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78379 and 78393. The biggest common factor number is the GCF number.
So the greatest common factor 78379 and 78393 is 7.

Also check out the Least Common Multiple of 78379 and 78393