What is the Greatest Common Factor of 78759 and 78767?

Greatest common factor (GCF) of 78759 and 78767 is 1.

GCF(78759,78767) = 1

We will now calculate the prime factors of 78759 and 78767, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78759 and 78767.

How to find the GCF of 78759 and 78767?

We will first find the prime factorization of 78759 and 78767. After we will calculate the factors of 78759 and 78767 and find the biggest common factor number .

Step-1: Prime Factorization of 78759

Prime factors of 78759 are 3, 2917. Prime factorization of 78759 in exponential form is:

78759 = 3³ × 2917¹

Step-2: Prime Factorization of 78767

Prime factors of 78767 are 13, 73, 83. Prime factorization of 78767 in exponential form is:

78767 = 13¹ × 73¹ × 83¹

Step-3: Factors of 78759

List of positive integer factors of 78759 that divides 78759 without a remainder.

1, 3, 9, 27, 2917, 8751, 26253

Step-4: Factors of 78767

List of positive integer factors of 78767 that divides 78759 without a remainder.

1, 13, 73, 83, 949, 1079, 6059

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78759 and 78767. The biggest common factor number is the GCF number.
So the greatest common factor 78759 and 78767 is 1.

Also check out the Least Common Multiple of 78759 and 78767