What is the Greatest Common Factor of 21414 and 21431?

Greatest common factor (GCF) of 21414 and 21431 is 1.

GCF(21414,21431) = 1

We will now calculate the prime factors of 21414 and 21431, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21414 and 21431.

How to find the GCF of 21414 and 21431?

We will first find the prime factorization of 21414 and 21431. After we will calculate the factors of 21414 and 21431 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 21431

Prime factors of 21431 are 29, 739. Prime factorization of 21431 in exponential form is:

21431 = 29¹ × 739¹

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 21431

List of positive integer factors of 21431 that divides 21414 without a remainder.

1, 29, 739

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21414 and 21431. The biggest common factor number is the GCF number.
So the greatest common factor 21414 and 21431 is 1.

Also check out the Least Common Multiple of 21414 and 21431