What is the Greatest Common Factor of 20723 and 20728?

Greatest common factor (GCF) of 20723 and 20728 is 1.

GCF(20723,20728) = 1

We will now calculate the prime factors of 20723 and 20728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20723 and 20728.

How to find the GCF of 20723 and 20728?

We will first find the prime factorization of 20723 and 20728. After we will calculate the factors of 20723 and 20728 and find the biggest common factor number .

Step-1: Prime Factorization of 20723

Prime factors of 20723 are 17, 23, 53. Prime factorization of 20723 in exponential form is:

20723 = 17¹ × 23¹ × 53¹

Step-2: Prime Factorization of 20728

Prime factors of 20728 are 2, 2591. Prime factorization of 20728 in exponential form is:

20728 = 2³ × 2591¹

Step-3: Factors of 20723

List of positive integer factors of 20723 that divides 20723 without a remainder.

1, 17, 23, 53, 391, 901, 1219

Step-4: Factors of 20728

List of positive integer factors of 20728 that divides 20723 without a remainder.

1, 2, 4, 8, 2591, 5182, 10364

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20723 and 20728. The biggest common factor number is the GCF number.
So the greatest common factor 20723 and 20728 is 1.

Also check out the Least Common Multiple of 20723 and 20728