What is the Greatest Common Factor of 21402 and 21419?

Greatest common factor (GCF) of 21402 and 21419 is 1.

GCF(21402,21419) = 1

We will now calculate the prime factors of 21402 and 21419, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21402 and 21419.

How to find the GCF of 21402 and 21419?

We will first find the prime factorization of 21402 and 21419. After we will calculate the factors of 21402 and 21419 and find the biggest common factor number .

Step-1: Prime Factorization of 21402

Prime factors of 21402 are 2, 3, 29, 41. Prime factorization of 21402 in exponential form is:

21402 = 2¹ × 3² × 29¹ × 41¹

Step-2: Prime Factorization of 21419

Prime factors of 21419 are 21419. Prime factorization of 21419 in exponential form is:

21419 = 21419¹

Step-3: Factors of 21402

List of positive integer factors of 21402 that divides 21402 without a remainder.

1, 2, 3, 6, 9, 18, 29, 41, 58, 82, 87, 123, 174, 246, 261, 369, 522, 738, 1189, 2378, 3567, 7134, 10701

Step-4: Factors of 21419

List of positive integer factors of 21419 that divides 21402 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21402 and 21419. The biggest common factor number is the GCF number.
So the greatest common factor 21402 and 21419 is 1.

Also check out the Least Common Multiple of 21402 and 21419