What is the Greatest Common Factor of 78369 and 78381?

Greatest common factor (GCF) of 78369 and 78381 is 3.

GCF(78369,78381) = 3

We will now calculate the prime factors of 78369 and 78381, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78369 and 78381.

How to find the GCF of 78369 and 78381?

We will first find the prime factorization of 78369 and 78381. After we will calculate the factors of 78369 and 78381 and find the biggest common factor number .

Step-1: Prime Factorization of 78369

Prime factors of 78369 are 3, 151, 173. Prime factorization of 78369 in exponential form is:

78369 = 3¹ × 151¹ × 173¹

Step-2: Prime Factorization of 78381

Prime factors of 78381 are 3, 2903. Prime factorization of 78381 in exponential form is:

78381 = 3³ × 2903¹

Step-3: Factors of 78369

List of positive integer factors of 78369 that divides 78369 without a remainder.

1, 3, 151, 173, 453, 519, 26123

Step-4: Factors of 78381

List of positive integer factors of 78381 that divides 78369 without a remainder.

1, 3, 9, 27, 2903, 8709, 26127

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78369 and 78381. The biggest common factor number is the GCF number.
So the greatest common factor 78369 and 78381 is 3.

Also check out the Least Common Multiple of 78369 and 78381