What is the Greatest Common Factor of 20320 and 20335?

Greatest common factor (GCF) of 20320 and 20335 is 5.

GCF(20320,20335) = 5

We will now calculate the prime factors of 20320 and 20335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20320 and 20335.

How to find the GCF of 20320 and 20335?

We will first find the prime factorization of 20320 and 20335. After we will calculate the factors of 20320 and 20335 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 20335

Prime factors of 20335 are 5, 7, 83. Prime factorization of 20335 in exponential form is:

20335 = 5¹ × 7² × 83¹

Step-3: Factors of 20320

List of positive integer factors of 20320 that divides 20320 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

Step-4: Factors of 20335

List of positive integer factors of 20335 that divides 20320 without a remainder.

1, 5, 7, 35, 49, 83, 245, 415, 581, 2905, 4067

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20320 and 20335. The biggest common factor number is the GCF number.
So the greatest common factor 20320 and 20335 is 5.

Also check out the Least Common Multiple of 20320 and 20335