What is the Greatest Common Factor of 20414 and 20421?

Greatest common factor (GCF) of 20414 and 20421 is 1.

GCF(20414,20421) = 1

We will now calculate the prime factors of 20414 and 20421, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20414 and 20421.

How to find the GCF of 20414 and 20421?

We will first find the prime factorization of 20414 and 20421. After we will calculate the factors of 20414 and 20421 and find the biggest common factor number .

Step-1: Prime Factorization of 20414

Prime factors of 20414 are 2, 59, 173. Prime factorization of 20414 in exponential form is:

20414 = 2¹ × 59¹ × 173¹

Step-2: Prime Factorization of 20421

Prime factors of 20421 are 3, 2269. Prime factorization of 20421 in exponential form is:

20421 = 3² × 2269¹

Step-3: Factors of 20414

List of positive integer factors of 20414 that divides 20414 without a remainder.

1, 2, 59, 118, 173, 346, 10207

Step-4: Factors of 20421

List of positive integer factors of 20421 that divides 20414 without a remainder.

1, 3, 9, 2269, 6807

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20414 and 20421. The biggest common factor number is the GCF number.
So the greatest common factor 20414 and 20421 is 1.

Also check out the Least Common Multiple of 20414 and 20421