What is the Greatest Common Factor of 20414 and 20423?

Greatest common factor (GCF) of 20414 and 20423 is 1.

GCF(20414,20423) = 1

We will now calculate the prime factors of 20414 and 20423, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20414 and 20423.

How to find the GCF of 20414 and 20423?

We will first find the prime factorization of 20414 and 20423. After we will calculate the factors of 20414 and 20423 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 20423

Prime factors of 20423 are 13, 1571. Prime factorization of 20423 in exponential form is:

20423 = 13¹ × 1571¹

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 20423

List of positive integer factors of 20423 that divides 20414 without a remainder.

1, 13, 1571

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20414 and 20423. The biggest common factor number is the GCF number.
So the greatest common factor 20414 and 20423 is 1.

Also check out the Least Common Multiple of 20414 and 20423