What is the Greatest Common Factor of 20535 and 20555?

Greatest common factor (GCF) of 20535 and 20555 is 5.

GCF(20535,20555) = 5

We will now calculate the prime factors of 20535 and 20555, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20535 and 20555.

How to find the GCF of 20535 and 20555?

We will first find the prime factorization of 20535 and 20555. After we will calculate the factors of 20535 and 20555 and find the biggest common factor number .

Step-1: Prime Factorization of 20535

Prime factors of 20535 are 3, 5, 37. Prime factorization of 20535 in exponential form is:

20535 = 3¹ × 5¹ × 37²

Step-2: Prime Factorization of 20555

Prime factors of 20555 are 5, 4111. Prime factorization of 20555 in exponential form is:

20555 = 5¹ × 4111¹

Step-3: Factors of 20535

List of positive integer factors of 20535 that divides 20535 without a remainder.

1, 3, 5, 15, 37, 111, 185, 555, 1369, 4107, 6845

Step-4: Factors of 20555

List of positive integer factors of 20555 that divides 20535 without a remainder.

1, 5, 4111

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20535 and 20555. The biggest common factor number is the GCF number.
So the greatest common factor 20535 and 20555 is 5.

Also check out the Least Common Multiple of 20535 and 20555