What is the Greatest Common Factor of 34743 and 34763?

Greatest common factor (GCF) of 34743 and 34763 is 1.

GCF(34743,34763) = 1

We will now calculate the prime factors of 34743 and 34763, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34743 and 34763.

How to find the GCF of 34743 and 34763?

We will first find the prime factorization of 34743 and 34763. After we will calculate the factors of 34743 and 34763 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 34763

Prime factors of 34763 are 34763. Prime factorization of 34763 in exponential form is:

34763 = 34763¹

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 34763

List of positive integer factors of 34763 that divides 34743 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34743 and 34763. The biggest common factor number is the GCF number.
So the greatest common factor 34743 and 34763 is 1.

Also check out the Least Common Multiple of 34743 and 34763