What is the Greatest Common Factor of 78357 and 78366?

Greatest common factor (GCF) of 78357 and 78366 is 3.

GCF(78357,78366) = 3

We will now calculate the prime factors of 78357 and 78366, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78357 and 78366.

How to find the GCF of 78357 and 78366?

We will first find the prime factorization of 78357 and 78366. After we will calculate the factors of 78357 and 78366 and find the biggest common factor number .

Step-1: Prime Factorization of 78357

Prime factors of 78357 are 3, 26119. Prime factorization of 78357 in exponential form is:

78357 = 3¹ × 26119¹

Step-2: Prime Factorization of 78366

Prime factors of 78366 are 2, 3, 37, 353. Prime factorization of 78366 in exponential form is:

78366 = 2¹ × 3¹ × 37¹ × 353¹

Step-3: Factors of 78357

List of positive integer factors of 78357 that divides 78357 without a remainder.

1, 3, 26119

Step-4: Factors of 78366

List of positive integer factors of 78366 that divides 78357 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222, 353, 706, 1059, 2118, 13061, 26122, 39183

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78357 and 78366. The biggest common factor number is the GCF number.
So the greatest common factor 78357 and 78366 is 3.

Also check out the Least Common Multiple of 78357 and 78366