What is the Greatest Common Factor of 78339 and 78357?

Greatest common factor (GCF) of 78339 and 78357 is 3.

GCF(78339,78357) = 3

We will now calculate the prime factors of 78339 and 78357, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78339 and 78357.

How to find the GCF of 78339 and 78357?

We will first find the prime factorization of 78339 and 78357. After we will calculate the factors of 78339 and 78357 and find the biggest common factor number .

Step-1: Prime Factorization of 78339

Prime factors of 78339 are 3, 26113. Prime factorization of 78339 in exponential form is:

78339 = 3¹ × 26113¹

Step-2: Prime Factorization of 78357

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

78357 = 3¹ × 26119¹

Step-3: Factors of 78339

List of positive integer factors of 78339 that divides 78339 without a remainder.

1, 3, 26113

Step-4: Factors of 78357

List of positive integer factors of 78357 that divides 78339 without a remainder.

1, 3, 26119

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78339 and 78357. The biggest common factor number is the GCF number.
So the greatest common factor 78339 and 78357 is 3.

Also check out the Least Common Multiple of 78339 and 78357