What is the Greatest Common Factor of 21416 and 21427?

Greatest common factor (GCF) of 21416 and 21427 is 1.

GCF(21416,21427) = 1

We will now calculate the prime factors of 21416 and 21427, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21416 and 21427.

How to find the GCF of 21416 and 21427?

We will first find the prime factorization of 21416 and 21427. After we will calculate the factors of 21416 and 21427 and find the biggest common factor number .

Step-1: Prime Factorization of 21416

Prime factors of 21416 are 2, 2677. Prime factorization of 21416 in exponential form is:

21416 = 2³ × 2677¹

Step-2: Prime Factorization of 21427

Prime factors of 21427 are 7, 3061. Prime factorization of 21427 in exponential form is:

21427 = 7¹ × 3061¹

Step-3: Factors of 21416

List of positive integer factors of 21416 that divides 21416 without a remainder.

1, 2, 4, 8, 2677, 5354, 10708

Step-4: Factors of 21427

List of positive integer factors of 21427 that divides 21416 without a remainder.

1, 7, 3061

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21416 and 21427. The biggest common factor number is the GCF number.
So the greatest common factor 21416 and 21427 is 1.

Also check out the Least Common Multiple of 21416 and 21427