What is the Greatest Common Factor of 20355 and 20375?

Greatest common factor (GCF) of 20355 and 20375 is 5.

GCF(20355,20375) = 5

We will now calculate the prime factors of 20355 and 20375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20355 and 20375.

How to find the GCF of 20355 and 20375?

We will first find the prime factorization of 20355 and 20375. After we will calculate the factors of 20355 and 20375 and find the biggest common factor number .

Step-1: Prime Factorization of 20355

Prime factors of 20355 are 3, 5, 23, 59. Prime factorization of 20355 in exponential form is:

20355 = 3¹ × 5¹ × 23¹ × 59¹

Step-2: Prime Factorization of 20375

Prime factors of 20375 are 5, 163. Prime factorization of 20375 in exponential form is:

20375 = 5³ × 163¹

Step-3: Factors of 20355

List of positive integer factors of 20355 that divides 20355 without a remainder.

1, 3, 5, 15, 23, 59, 69, 115, 177, 295, 345, 885, 1357, 4071, 6785

Step-4: Factors of 20375

List of positive integer factors of 20375 that divides 20355 without a remainder.

1, 5, 25, 125, 163, 815, 4075

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20355 and 20375. The biggest common factor number is the GCF number.
So the greatest common factor 20355 and 20375 is 5.

Also check out the Least Common Multiple of 20355 and 20375