What is the Greatest Common Factor of 34450 and 34466?

Greatest common factor (GCF) of 34450 and 34466 is 2.

GCF(34450,34466) = 2

We will now calculate the prime factors of 34450 and 34466, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34450 and 34466.

How to find the GCF of 34450 and 34466?

We will first find the prime factorization of 34450 and 34466. After we will calculate the factors of 34450 and 34466 and find the biggest common factor number .

Step-1: Prime Factorization of 34450

Prime factors of 34450 are 2, 5, 13, 53. Prime factorization of 34450 in exponential form is:

34450 = 2¹ × 5² × 13¹ × 53¹

Step-2: Prime Factorization of 34466

Prime factors of 34466 are 2, 19, 907. Prime factorization of 34466 in exponential form is:

34466 = 2¹ × 19¹ × 907¹

Step-3: Factors of 34450

List of positive integer factors of 34450 that divides 34450 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 53, 65, 106, 130, 265, 325, 530, 650, 689, 1325, 1378, 2650, 3445, 6890, 17225

Step-4: Factors of 34466

List of positive integer factors of 34466 that divides 34450 without a remainder.

1, 2, 19, 38, 907, 1814, 17233

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34450 and 34466. The biggest common factor number is the GCF number.
So the greatest common factor 34450 and 34466 is 2.

Also check out the Least Common Multiple of 34450 and 34466