What is the Greatest Common Factor of 34450 and 34462?

Greatest common factor (GCF) of 34450 and 34462 is 2.

GCF(34450,34462) = 2

We will now calculate the prime factors of 34450 and 34462, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34450 and 34462.

How to find the GCF of 34450 and 34462?

We will first find the prime factorization of 34450 and 34462. After we will calculate the factors of 34450 and 34462 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 34462

Prime factors of 34462 are 2, 17231. Prime factorization of 34462 in exponential form is:

34462 = 2¹ × 17231¹

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 34462

List of positive integer factors of 34462 that divides 34450 without a remainder.

1, 2, 17231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34450 and 34462. The biggest common factor number is the GCF number.
So the greatest common factor 34450 and 34462 is 2.

Also check out the Least Common Multiple of 34450 and 34462