What is the Greatest Common Factor of 21414 and 21418?

Greatest common factor (GCF) of 21414 and 21418 is 2.

GCF(21414,21418) = 2

We will now calculate the prime factors of 21414 and 21418, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21414 and 21418.

How to find the GCF of 21414 and 21418?

We will first find the prime factorization of 21414 and 21418. After we will calculate the factors of 21414 and 21418 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 21418

Prime factors of 21418 are 2, 10709. Prime factorization of 21418 in exponential form is:

21418 = 2¹ × 10709¹

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 21418

List of positive integer factors of 21418 that divides 21414 without a remainder.

1, 2, 10709

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21414 and 21418. The biggest common factor number is the GCF number.
So the greatest common factor 21414 and 21418 is 2.

Also check out the Least Common Multiple of 21414 and 21418