What is the Greatest Common Factor of 34730 and 34741?

Greatest common factor (GCF) of 34730 and 34741 is 1.

GCF(34730,34741) = 1

We will now calculate the prime factors of 34730 and 34741, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34730 and 34741.

How to find the GCF of 34730 and 34741?

We will first find the prime factorization of 34730 and 34741. After we will calculate the factors of 34730 and 34741 and find the biggest common factor number .

Step-1: Prime Factorization of 34730

Prime factors of 34730 are 2, 5, 23, 151. Prime factorization of 34730 in exponential form is:

34730 = 2¹ × 5¹ × 23¹ × 151¹

Step-2: Prime Factorization of 34741

Prime factors of 34741 are 7, 709. Prime factorization of 34741 in exponential form is:

34741 = 7² × 709¹

Step-3: Factors of 34730

List of positive integer factors of 34730 that divides 34730 without a remainder.

1, 2, 5, 10, 23, 46, 115, 151, 230, 302, 755, 1510, 3473, 6946, 17365

Step-4: Factors of 34741

List of positive integer factors of 34741 that divides 34730 without a remainder.

1, 7, 49, 709, 4963

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34730 and 34741. The biggest common factor number is the GCF number.
So the greatest common factor 34730 and 34741 is 1.

Also check out the Least Common Multiple of 34730 and 34741