What is the Greatest Common Factor of 34432 and 34450?

Greatest common factor (GCF) of 34432 and 34450 is 2.

GCF(34432,34450) = 2

We will now calculate the prime factors of 34432 and 34450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34432 and 34450.

How to find the GCF of 34432 and 34450?

We will first find the prime factorization of 34432 and 34450. After we will calculate the factors of 34432 and 34450 and find the biggest common factor number .

Step-1: Prime Factorization of 34432

Prime factors of 34432 are 2, 269. Prime factorization of 34432 in exponential form is:

34432 = 2⁷ × 269¹

Step-2: 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-3: Factors of 34432

List of positive integer factors of 34432 that divides 34432 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 269, 538, 1076, 2152, 4304, 8608, 17216

Step-4: Factors of 34450

List of positive integer factors of 34450 that divides 34432 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34432 and 34450. The biggest common factor number is the GCF number.
So the greatest common factor 34432 and 34450 is 2.

Also check out the Least Common Multiple of 34432 and 34450