What is the Greatest Common Factor of 34743 and 34759?

Greatest common factor (GCF) of 34743 and 34759 is 1.

GCF(34743,34759) = 1

We will now calculate the prime factors of 34743 and 34759, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34743 and 34759.

How to find the GCF of 34743 and 34759?

We will first find the prime factorization of 34743 and 34759. After we will calculate the factors of 34743 and 34759 and find the biggest common factor number .

Step-1: Prime Factorization of 34743

Prime factors of 34743 are 3, 37, 313. Prime factorization of 34743 in exponential form is:

34743 = 3¹ × 37¹ × 313¹

Step-2: Prime Factorization of 34759

Prime factors of 34759 are 34759. Prime factorization of 34759 in exponential form is:

34759 = 34759¹

Step-3: Factors of 34743

List of positive integer factors of 34743 that divides 34743 without a remainder.

1, 3, 37, 111, 313, 939, 11581

Step-4: Factors of 34759

List of positive integer factors of 34759 that divides 34743 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34743 and 34759. The biggest common factor number is the GCF number.
So the greatest common factor 34743 and 34759 is 1.

Also check out the Least Common Multiple of 34743 and 34759