What is the Greatest Common Factor of 34405 and 34412?

Greatest common factor (GCF) of 34405 and 34412 is 7.

GCF(34405,34412) = 7

We will now calculate the prime factors of 34405 and 34412, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34405 and 34412.

How to find the GCF of 34405 and 34412?

We will first find the prime factorization of 34405 and 34412. After we will calculate the factors of 34405 and 34412 and find the biggest common factor number .

Step-1: Prime Factorization of 34405

Prime factors of 34405 are 5, 7, 983. Prime factorization of 34405 in exponential form is:

34405 = 5¹ × 7¹ × 983¹

Step-2: Prime Factorization of 34412

Prime factors of 34412 are 2, 7, 1229. Prime factorization of 34412 in exponential form is:

34412 = 2² × 7¹ × 1229¹

Step-3: Factors of 34405

List of positive integer factors of 34405 that divides 34405 without a remainder.

1, 5, 7, 35, 983, 4915, 6881

Step-4: Factors of 34412

List of positive integer factors of 34412 that divides 34405 without a remainder.

1, 2, 4, 7, 14, 28, 1229, 2458, 4916, 8603, 17206

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34405 and 34412. The biggest common factor number is the GCF number.
So the greatest common factor 34405 and 34412 is 7.

Also check out the Least Common Multiple of 34405 and 34412