What is the Greatest Common Factor of 77729 and 77743?

Greatest common factor (GCF) of 77729 and 77743 is 1.

GCF(77729,77743) = 1

We will now calculate the prime factors of 77729 and 77743, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77729 and 77743.

How to find the GCF of 77729 and 77743?

We will first find the prime factorization of 77729 and 77743. After we will calculate the factors of 77729 and 77743 and find the biggest common factor number .

Step-1: Prime Factorization of 77729

Prime factors of 77729 are 19, 4091. Prime factorization of 77729 in exponential form is:

77729 = 19¹ × 4091¹

Step-2: Prime Factorization of 77743

Prime factors of 77743 are 77743. Prime factorization of 77743 in exponential form is:

77743 = 77743¹

Step-3: Factors of 77729

List of positive integer factors of 77729 that divides 77729 without a remainder.

1, 19, 4091

Step-4: Factors of 77743

List of positive integer factors of 77743 that divides 77729 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77729 and 77743. The biggest common factor number is the GCF number.
So the greatest common factor 77729 and 77743 is 1.

Also check out the Least Common Multiple of 77729 and 77743