What is the Greatest Common Factor of 34785 and 34791?

Greatest common factor (GCF) of 34785 and 34791 is 3.

GCF(34785,34791) = 3

We will now calculate the prime factors of 34785 and 34791, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34785 and 34791.

How to find the GCF of 34785 and 34791?

We will first find the prime factorization of 34785 and 34791. After we will calculate the factors of 34785 and 34791 and find the biggest common factor number .

Step-1: Prime Factorization of 34785

Prime factors of 34785 are 3, 5, 773. Prime factorization of 34785 in exponential form is:

34785 = 3² × 5¹ × 773¹

Step-2: Prime Factorization of 34791

Prime factors of 34791 are 3, 11597. Prime factorization of 34791 in exponential form is:

34791 = 3¹ × 11597¹

Step-3: Factors of 34785

List of positive integer factors of 34785 that divides 34785 without a remainder.

1, 3, 5, 9, 15, 45, 773, 2319, 3865, 6957, 11595

Step-4: Factors of 34791

List of positive integer factors of 34791 that divides 34785 without a remainder.

1, 3, 11597

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34785 and 34791. The biggest common factor number is the GCF number.
So the greatest common factor 34785 and 34791 is 3.

Also check out the Least Common Multiple of 34785 and 34791