What is the Greatest Common Factor of 34784 and 34790?

Greatest common factor (GCF) of 34784 and 34790 is 2.

GCF(34784,34790) = 2

We will now calculate the prime factors of 34784 and 34790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34784 and 34790.

How to find the GCF of 34784 and 34790?

We will first find the prime factorization of 34784 and 34790. After we will calculate the factors of 34784 and 34790 and find the biggest common factor number .

Step-1: Prime Factorization of 34784

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

34784 = 2⁵ × 1087¹

Step-2: Prime Factorization of 34790

Prime factors of 34790 are 2, 5, 7, 71. Prime factorization of 34790 in exponential form is:

34790 = 2¹ × 5¹ × 7² × 71¹

Step-3: Factors of 34784

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

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

Step-4: Factors of 34790

List of positive integer factors of 34790 that divides 34784 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 71, 98, 142, 245, 355, 490, 497, 710, 994, 2485, 3479, 4970, 6958, 17395

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34784 and 34790. The biggest common factor number is the GCF number.
So the greatest common factor 34784 and 34790 is 2.

Also check out the Least Common Multiple of 34784 and 34790