What is the Greatest Common Factor of 79759 and 79767?

Greatest common factor (GCF) of 79759 and 79767 is 1.

GCF(79759,79767) = 1

We will now calculate the prime factors of 79759 and 79767, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79759 and 79767.

How to find the GCF of 79759 and 79767?

We will first find the prime factorization of 79759 and 79767. After we will calculate the factors of 79759 and 79767 and find the biggest common factor number .

Step-1: Prime Factorization of 79759

Prime factors of 79759 are 47, 1697. Prime factorization of 79759 in exponential form is:

79759 = 47¹ × 1697¹

Step-2: Prime Factorization of 79767

Prime factors of 79767 are 3, 8863. Prime factorization of 79767 in exponential form is:

79767 = 3² × 8863¹

Step-3: Factors of 79759

List of positive integer factors of 79759 that divides 79759 without a remainder.

1, 47, 1697

Step-4: Factors of 79767

List of positive integer factors of 79767 that divides 79759 without a remainder.

1, 3, 9, 8863, 26589

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79759 and 79767. The biggest common factor number is the GCF number.
So the greatest common factor 79759 and 79767 is 1.

Also check out the Least Common Multiple of 79759 and 79767