What is the Greatest Common Factor of 34450 and 34463?

Greatest common factor (GCF) of 34450 and 34463 is 13.

GCF(34450,34463) = 13

We will now calculate the prime factors of 34450 and 34463, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34450 and 34463.

How to find the GCF of 34450 and 34463?

We will first find the prime factorization of 34450 and 34463. After we will calculate the factors of 34450 and 34463 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 34463

Prime factors of 34463 are 11, 13, 241. Prime factorization of 34463 in exponential form is:

34463 = 11¹ × 13¹ × 241¹

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 34463

List of positive integer factors of 34463 that divides 34450 without a remainder.

1, 11, 13, 143, 241, 2651, 3133

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34450 and 34463. The biggest common factor number is the GCF number.
So the greatest common factor 34450 and 34463 is 13.

Also check out the Least Common Multiple of 34450 and 34463