What is the Greatest Common Factor of 77301 and 77317?

Greatest common factor (GCF) of 77301 and 77317 is 1.

GCF(77301,77317) = 1

We will now calculate the prime factors of 77301 and 77317, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77301 and 77317.

How to find the GCF of 77301 and 77317?

We will first find the prime factorization of 77301 and 77317. After we will calculate the factors of 77301 and 77317 and find the biggest common factor number .

Step-1: Prime Factorization of 77301

Prime factors of 77301 are 3, 7, 409. Prime factorization of 77301 in exponential form is:

77301 = 3³ × 7¹ × 409¹

Step-2: Prime Factorization of 77317

Prime factors of 77317 are 77317. Prime factorization of 77317 in exponential form is:

77317 = 77317¹

Step-3: Factors of 77301

List of positive integer factors of 77301 that divides 77301 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189, 409, 1227, 2863, 3681, 8589, 11043, 25767

Step-4: Factors of 77317

List of positive integer factors of 77317 that divides 77301 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77301 and 77317. The biggest common factor number is the GCF number.
So the greatest common factor 77301 and 77317 is 1.

Also check out the Least Common Multiple of 77301 and 77317