What is the Greatest Common Factor of 20309 and 20320?

Greatest common factor (GCF) of 20309 and 20320 is 1.

GCF(20309,20320) = 1

We will now calculate the prime factors of 20309 and 20320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20309 and 20320.

How to find the GCF of 20309 and 20320?

We will first find the prime factorization of 20309 and 20320. After we will calculate the factors of 20309 and 20320 and find the biggest common factor number .

Step-1: Prime Factorization of 20309

Prime factors of 20309 are 23, 883. Prime factorization of 20309 in exponential form is:

20309 = 23¹ × 883¹

Step-2: Prime Factorization of 20320

Prime factors of 20320 are 2, 5, 127. Prime factorization of 20320 in exponential form is:

20320 = 2⁵ × 5¹ × 127¹

Step-3: Factors of 20309

List of positive integer factors of 20309 that divides 20309 without a remainder.

1, 23, 883

Step-4: Factors of 20320

List of positive integer factors of 20320 that divides 20309 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 127, 160, 254, 508, 635, 1016, 1270, 2032, 2540, 4064, 5080, 10160

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20309 and 20320. The biggest common factor number is the GCF number.
So the greatest common factor 20309 and 20320 is 1.

Also check out the Least Common Multiple of 20309 and 20320