What is the Greatest Common Factor of 20404 and 20414?

Greatest common factor (GCF) of 20404 and 20414 is 2.

GCF(20404,20414) = 2

We will now calculate the prime factors of 20404 and 20414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20404 and 20414.

How to find the GCF of 20404 and 20414?

We will first find the prime factorization of 20404 and 20414. After we will calculate the factors of 20404 and 20414 and find the biggest common factor number .

Step-1: Prime Factorization of 20404

Prime factors of 20404 are 2, 5101. Prime factorization of 20404 in exponential form is:

20404 = 2² × 5101¹

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 20404

List of positive integer factors of 20404 that divides 20404 without a remainder.

1, 2, 4, 5101, 10202

Step-4: Factors of 20414

List of positive integer factors of 20414 that divides 20404 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20404 and 20414. The biggest common factor number is the GCF number.
So the greatest common factor 20404 and 20414 is 2.

Also check out the Least Common Multiple of 20404 and 20414