What is the Greatest Common Factor of 76889 and 76909?

Greatest common factor (GCF) of 76889 and 76909 is 1.

GCF(76889,76909) = 1

We will now calculate the prime factors of 76889 and 76909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76889 and 76909.

How to find the GCF of 76889 and 76909?

We will first find the prime factorization of 76889 and 76909. After we will calculate the factors of 76889 and 76909 and find the biggest common factor number .

Step-1: Prime Factorization of 76889

Prime factors of 76889 are 23, 3343. Prime factorization of 76889 in exponential form is:

76889 = 23¹ × 3343¹

Step-2: Prime Factorization of 76909

Prime factors of 76909 are 7, 10987. Prime factorization of 76909 in exponential form is:

76909 = 7¹ × 10987¹

Step-3: Factors of 76889

List of positive integer factors of 76889 that divides 76889 without a remainder.

1, 23, 3343

Step-4: Factors of 76909

List of positive integer factors of 76909 that divides 76889 without a remainder.

1, 7, 10987

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76889 and 76909. The biggest common factor number is the GCF number.
So the greatest common factor 76889 and 76909 is 1.

Also check out the Least Common Multiple of 76889 and 76909