What is the Greatest Common Factor of 21424 and 21430?

Greatest common factor (GCF) of 21424 and 21430 is 2.

GCF(21424,21430) = 2

We will now calculate the prime factors of 21424 and 21430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21424 and 21430.

How to find the GCF of 21424 and 21430?

We will first find the prime factorization of 21424 and 21430. After we will calculate the factors of 21424 and 21430 and find the biggest common factor number .

Step-1: Prime Factorization of 21424

Prime factors of 21424 are 2, 13, 103. Prime factorization of 21424 in exponential form is:

21424 = 2⁴ × 13¹ × 103¹

Step-2: 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-3: Factors of 21424

List of positive integer factors of 21424 that divides 21424 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 103, 104, 206, 208, 412, 824, 1339, 1648, 2678, 5356, 10712

Step-4: Factors of 21430

List of positive integer factors of 21430 that divides 21424 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21424 and 21430. The biggest common factor number is the GCF number.
So the greatest common factor 21424 and 21430 is 2.

Also check out the Least Common Multiple of 21424 and 21430