What is the Greatest Common Factor of 34765 and 34784?

Greatest common factor (GCF) of 34765 and 34784 is 1.

GCF(34765,34784) = 1

We will now calculate the prime factors of 34765 and 34784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34765 and 34784.

How to find the GCF of 34765 and 34784?

We will first find the prime factorization of 34765 and 34784. After we will calculate the factors of 34765 and 34784 and find the biggest common factor number .

Step-1: Prime Factorization of 34765

Prime factors of 34765 are 5, 17, 409. Prime factorization of 34765 in exponential form is:

34765 = 5¹ × 17¹ × 409¹

Step-2: Prime Factorization of 34784

Prime factors of 34784 are 2, 1087. Prime factorization of 34784 in exponential form is:

34784 = 2⁵ × 1087¹

Step-3: Factors of 34765

List of positive integer factors of 34765 that divides 34765 without a remainder.

1, 5, 17, 85, 409, 2045, 6953

Step-4: Factors of 34784

List of positive integer factors of 34784 that divides 34765 without a remainder.

1, 2, 4, 8, 16, 32, 1087, 2174, 4348, 8696, 17392

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34765 and 34784. The biggest common factor number is the GCF number.
So the greatest common factor 34765 and 34784 is 1.

Also check out the Least Common Multiple of 34765 and 34784