What is the Greatest Common Factor of 21430 and 21440?

Greatest common factor (GCF) of 21430 and 21440 is 10.

GCF(21430,21440) = 10

We will now calculate the prime factors of 21430 and 21440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21430 and 21440.

How to find the GCF of 21430 and 21440?

We will first find the prime factorization of 21430 and 21440. After we will calculate the factors of 21430 and 21440 and find the biggest common factor number .

Step-1: Prime Factorization of 21430

Prime factors of 21430 are 2, 5, 2143. Prime factorization of 21430 in exponential form is:

21430 = 2¹ × 5¹ × 2143¹

Step-2: Prime Factorization of 21440

Prime factors of 21440 are 2, 5, 67. Prime factorization of 21440 in exponential form is:

21440 = 2⁶ × 5¹ × 67¹

Step-3: Factors of 21430

List of positive integer factors of 21430 that divides 21430 without a remainder.

1, 2, 5, 10, 2143, 4286, 10715

Step-4: Factors of 21440

List of positive integer factors of 21440 that divides 21430 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 67, 80, 134, 160, 268, 320, 335, 536, 670, 1072, 1340, 2144, 2680, 4288, 5360, 10720

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21430 and 21440. The biggest common factor number is the GCF number.
So the greatest common factor 21430 and 21440 is 10.

Also check out the Least Common Multiple of 21430 and 21440