What is the Greatest Common Factor of 78759 and 78763?

Greatest common factor (GCF) of 78759 and 78763 is 1.

GCF(78759,78763) = 1

We will now calculate the prime factors of 78759 and 78763, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78759 and 78763.

How to find the GCF of 78759 and 78763?

We will first find the prime factorization of 78759 and 78763. After we will calculate the factors of 78759 and 78763 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 78763

Prime factors of 78763 are 79, 997. Prime factorization of 78763 in exponential form is:

78763 = 79¹ × 997¹

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 78763

List of positive integer factors of 78763 that divides 78759 without a remainder.

1, 79, 997

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78759 and 78763. The biggest common factor number is the GCF number.
So the greatest common factor 78759 and 78763 is 1.

Also check out the Least Common Multiple of 78759 and 78763