What is the Greatest Common Factor of 20396 and 20414?

Greatest common factor (GCF) of 20396 and 20414 is 2.

GCF(20396,20414) = 2

We will now calculate the prime factors of 20396 and 20414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20396 and 20414.

How to find the GCF of 20396 and 20414?

We will first find the prime factorization of 20396 and 20414. After we will calculate the factors of 20396 and 20414 and find the biggest common factor number .

Step-1: Prime Factorization of 20396

Prime factors of 20396 are 2, 5099. Prime factorization of 20396 in exponential form is:

20396 = 2² × 5099¹

Step-2: 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-3: Factors of 20396

List of positive integer factors of 20396 that divides 20396 without a remainder.

1, 2, 4, 5099, 10198

Step-4: Factors of 20414

List of positive integer factors of 20414 that divides 20396 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20396 and 20414. The biggest common factor number is the GCF number.
So the greatest common factor 20396 and 20414 is 2.

Also check out the Least Common Multiple of 20396 and 20414