What is the Greatest Common Factor of 16430 and 16450?

Greatest common factor (GCF) of 16430 and 16450 is 10.

GCF(16430,16450) = 10

We will now calculate the prime factors of 16430 and 16450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16430 and 16450.

How to find the GCF of 16430 and 16450?

We will first find the prime factorization of 16430 and 16450. After we will calculate the factors of 16430 and 16450 and find the biggest common factor number .

Step-1: Prime Factorization of 16430

Prime factors of 16430 are 2, 5, 31, 53. Prime factorization of 16430 in exponential form is:

16430 = 2¹ × 5¹ × 31¹ × 53¹

Step-2: Prime Factorization of 16450

Prime factors of 16450 are 2, 5, 7, 47. Prime factorization of 16450 in exponential form is:

16450 = 2¹ × 5² × 7¹ × 47¹

Step-3: Factors of 16430

List of positive integer factors of 16430 that divides 16430 without a remainder.

1, 2, 5, 10, 31, 53, 62, 106, 155, 265, 310, 530, 1643, 3286, 8215

Step-4: Factors of 16450

List of positive integer factors of 16450 that divides 16430 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 47, 50, 70, 94, 175, 235, 329, 350, 470, 658, 1175, 1645, 2350, 3290, 8225

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16430 and 16450. The biggest common factor number is the GCF number.
So the greatest common factor 16430 and 16450 is 10.

Also check out the Least Common Multiple of 16430 and 16450