What is the Greatest Common Factor of 20410 and 20430?

Greatest common factor (GCF) of 20410 and 20430 is 10.

GCF(20410,20430) = 10

We will now calculate the prime factors of 20410 and 20430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20410 and 20430.

How to find the GCF of 20410 and 20430?

We will first find the prime factorization of 20410 and 20430. After we will calculate the factors of 20410 and 20430 and find the biggest common factor number .

Step-1: Prime Factorization of 20410

Prime factors of 20410 are 2, 5, 13, 157. Prime factorization of 20410 in exponential form is:

20410 = 2¹ × 5¹ × 13¹ × 157¹

Step-2: Prime Factorization of 20430

Prime factors of 20430 are 2, 3, 5, 227. Prime factorization of 20430 in exponential form is:

20430 = 2¹ × 3² × 5¹ × 227¹

Step-3: Factors of 20410

List of positive integer factors of 20410 that divides 20410 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 157, 314, 785, 1570, 2041, 4082, 10205

Step-4: Factors of 20430

List of positive integer factors of 20430 that divides 20410 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 227, 454, 681, 1135, 1362, 2043, 2270, 3405, 4086, 6810, 10215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20410 and 20430. The biggest common factor number is the GCF number.
So the greatest common factor 20410 and 20430 is 10.

Also check out the Least Common Multiple of 20410 and 20430