What is the Greatest Common Factor of 64430 and 64450?

Greatest common factor (GCF) of 64430 and 64450 is 10.

GCF(64430,64450) = 10

We will now calculate the prime factors of 64430 and 64450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64430 and 64450.

How to find the GCF of 64430 and 64450?

We will first find the prime factorization of 64430 and 64450. After we will calculate the factors of 64430 and 64450 and find the biggest common factor number .

Step-1: Prime Factorization of 64430

Prime factors of 64430 are 2, 5, 17, 379. Prime factorization of 64430 in exponential form is:

64430 = 2¹ × 5¹ × 17¹ × 379¹

Step-2: Prime Factorization of 64450

Prime factors of 64450 are 2, 5, 1289. Prime factorization of 64450 in exponential form is:

64450 = 2¹ × 5² × 1289¹

Step-3: Factors of 64430

List of positive integer factors of 64430 that divides 64430 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 379, 758, 1895, 3790, 6443, 12886, 32215

Step-4: Factors of 64450

List of positive integer factors of 64450 that divides 64430 without a remainder.

1, 2, 5, 10, 25, 50, 1289, 2578, 6445, 12890, 32225

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64430 and 64450. The biggest common factor number is the GCF number.
So the greatest common factor 64430 and 64450 is 10.

Also check out the Least Common Multiple of 64430 and 64450