What is the Greatest Common Factor of 410 and 430?

Greatest common factor (GCF) of 410 and 430 is 10.

GCF(410,430) = 10

We will now calculate the prime factors of 410 and 430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 410 and 430.

How to find the GCF of 410 and 430?

We will first find the prime factorization of 410 and 430. After we will calculate the factors of 410 and 430 and find the biggest common factor number .

Step-1: Prime Factorization of 410

Prime factors of 410 are 2, 5, 41. Prime factorization of 410 in exponential form is:

410 = 2¹ × 5¹ × 41¹

Step-2: Prime Factorization of 430

Prime factors of 430 are 2, 5, 43. Prime factorization of 430 in exponential form is:

430 = 2¹ × 5¹ × 43¹

Step-3: Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1, 2, 5, 10, 41, 82, 205

Step-4: Factors of 430

List of positive integer factors of 430 that divides 410 without a remainder.

1, 2, 5, 10, 43, 86, 215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 410 and 430. The biggest common factor number is the GCF number.
So the greatest common factor 410 and 430 is 10.

Also check out the Least Common Multiple of 410 and 430