What is the Greatest Common Factor of 77894 and 77909?

Greatest common factor (GCF) of 77894 and 77909 is 1.

GCF(77894,77909) = 1

We will now calculate the prime factors of 77894 and 77909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77894 and 77909.

How to find the GCF of 77894 and 77909?

We will first find the prime factorization of 77894 and 77909. After we will calculate the factors of 77894 and 77909 and find the biggest common factor number .

Step-1: Prime Factorization of 77894

Prime factors of 77894 are 2, 17, 29, 79. Prime factorization of 77894 in exponential form is:

77894 = 2¹ × 17¹ × 29¹ × 79¹

Step-2: Prime Factorization of 77909

Prime factors of 77909 are 13, 461. Prime factorization of 77909 in exponential form is:

77909 = 13² × 461¹

Step-3: Factors of 77894

List of positive integer factors of 77894 that divides 77894 without a remainder.

1, 2, 17, 29, 34, 58, 79, 158, 493, 986, 1343, 2291, 2686, 4582, 38947

Step-4: Factors of 77909

List of positive integer factors of 77909 that divides 77894 without a remainder.

1, 13, 169, 461, 5993

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77894 and 77909. The biggest common factor number is the GCF number.
So the greatest common factor 77894 and 77909 is 1.

Also check out the Least Common Multiple of 77894 and 77909