What is the Greatest Common Factor of 20457 and 20474?

Greatest common factor (GCF) of 20457 and 20474 is 1.

GCF(20457,20474) = 1

We will now calculate the prime factors of 20457 and 20474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20457 and 20474.

How to find the GCF of 20457 and 20474?

We will first find the prime factorization of 20457 and 20474. After we will calculate the factors of 20457 and 20474 and find the biggest common factor number .

Step-1: Prime Factorization of 20457

Prime factors of 20457 are 3, 2273. Prime factorization of 20457 in exponential form is:

20457 = 3² × 2273¹

Step-2: Prime Factorization of 20474

Prime factors of 20474 are 2, 29, 353. Prime factorization of 20474 in exponential form is:

20474 = 2¹ × 29¹ × 353¹

Step-3: Factors of 20457

List of positive integer factors of 20457 that divides 20457 without a remainder.

1, 3, 9, 2273, 6819

Step-4: Factors of 20474

List of positive integer factors of 20474 that divides 20457 without a remainder.

1, 2, 29, 58, 353, 706, 10237

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20457 and 20474. The biggest common factor number is the GCF number.
So the greatest common factor 20457 and 20474 is 1.

Also check out the Least Common Multiple of 20457 and 20474