What is the Greatest Common Factor of 21414 and 21423?

Greatest common factor (GCF) of 21414 and 21423 is 3.

GCF(21414,21423) = 3

We will now calculate the prime factors of 21414 and 21423, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21414 and 21423.

How to find the GCF of 21414 and 21423?

We will first find the prime factorization of 21414 and 21423. After we will calculate the factors of 21414 and 21423 and find the biggest common factor number .

Step-1: Prime Factorization of 21414

Prime factors of 21414 are 2, 3, 43, 83. Prime factorization of 21414 in exponential form is:

21414 = 2¹ × 3¹ × 43¹ × 83¹

Step-2: Prime Factorization of 21423

Prime factors of 21423 are 3, 37, 193. Prime factorization of 21423 in exponential form is:

21423 = 3¹ × 37¹ × 193¹

Step-3: Factors of 21414

List of positive integer factors of 21414 that divides 21414 without a remainder.

1, 2, 3, 6, 43, 83, 86, 129, 166, 249, 258, 498, 3569, 7138, 10707

Step-4: Factors of 21423

List of positive integer factors of 21423 that divides 21414 without a remainder.

1, 3, 37, 111, 193, 579, 7141

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21414 and 21423. The biggest common factor number is the GCF number.
So the greatest common factor 21414 and 21423 is 3.

Also check out the Least Common Multiple of 21414 and 21423