What is the Greatest Common Factor of 77909 and 77913?

Greatest common factor (GCF) of 77909 and 77913 is 1.

GCF(77909,77913) = 1

We will now calculate the prime factors of 77909 and 77913, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77909 and 77913.

How to find the GCF of 77909 and 77913?

We will first find the prime factorization of 77909 and 77913. After we will calculate the factors of 77909 and 77913 and find the biggest common factor number .

Step-1: Prime Factorization of 77909

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

77909 = 13² × 461¹

Step-2: Prime Factorization of 77913

Prime factors of 77913 are 3, 11, 787. Prime factorization of 77913 in exponential form is:

77913 = 3² × 11¹ × 787¹

Step-3: Factors of 77909

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

1, 13, 169, 461, 5993

Step-4: Factors of 77913

List of positive integer factors of 77913 that divides 77909 without a remainder.

1, 3, 9, 11, 33, 99, 787, 2361, 7083, 8657, 25971

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77909 and 77913. The biggest common factor number is the GCF number.
So the greatest common factor 77909 and 77913 is 1.

Also check out the Least Common Multiple of 77909 and 77913