What is the Greatest Common Factor of 78381 and 78387?

Greatest common factor (GCF) of 78381 and 78387 is 3.

GCF(78381,78387) = 3

We will now calculate the prime factors of 78381 and 78387, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78381 and 78387.

How to find the GCF of 78381 and 78387?

We will first find the prime factorization of 78381 and 78387. After we will calculate the factors of 78381 and 78387 and find the biggest common factor number .

Step-1: Prime Factorization of 78381

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

78381 = 3³ × 2903¹

Step-2: Prime Factorization of 78387

Prime factors of 78387 are 3, 17, 29, 53. Prime factorization of 78387 in exponential form is:

78387 = 3¹ × 17¹ × 29¹ × 53¹

Step-3: Factors of 78381

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

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

Step-4: Factors of 78387

List of positive integer factors of 78387 that divides 78381 without a remainder.

1, 3, 17, 29, 51, 53, 87, 159, 493, 901, 1479, 1537, 2703, 4611, 26129

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78381 and 78387. The biggest common factor number is the GCF number.
So the greatest common factor 78381 and 78387 is 3.

Also check out the Least Common Multiple of 78381 and 78387