What is the Greatest Common Factor of 78959 and 78966?

Greatest common factor (GCF) of 78959 and 78966 is 1.

GCF(78959,78966) = 1

We will now calculate the prime factors of 78959 and 78966, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78959 and 78966.

How to find the GCF of 78959 and 78966?

We will first find the prime factorization of 78959 and 78966. After we will calculate the factors of 78959 and 78966 and find the biggest common factor number .

Step-1: Prime Factorization of 78959

Prime factors of 78959 are 23, 3433. Prime factorization of 78959 in exponential form is:

78959 = 23¹ × 3433¹

Step-2: Prime Factorization of 78966

Prime factors of 78966 are 2, 3, 41, 107. Prime factorization of 78966 in exponential form is:

78966 = 2¹ × 3² × 41¹ × 107¹

Step-3: Factors of 78959

List of positive integer factors of 78959 that divides 78959 without a remainder.

1, 23, 3433

Step-4: Factors of 78966

List of positive integer factors of 78966 that divides 78959 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 107, 123, 214, 246, 321, 369, 642, 738, 963, 1926, 4387, 8774, 13161, 26322, 39483

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78959 and 78966. The biggest common factor number is the GCF number.
So the greatest common factor 78959 and 78966 is 1.

Also check out the Least Common Multiple of 78959 and 78966