What is the Greatest Common Factor of 20535 and 20539?

Greatest common factor (GCF) of 20535 and 20539 is 1.

GCF(20535,20539) = 1

We will now calculate the prime factors of 20535 and 20539, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20535 and 20539.

How to find the GCF of 20535 and 20539?

We will first find the prime factorization of 20535 and 20539. After we will calculate the factors of 20535 and 20539 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 20539

Prime factors of 20539 are 19, 23, 47. Prime factorization of 20539 in exponential form is:

20539 = 19¹ × 23¹ × 47¹

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 20539

List of positive integer factors of 20539 that divides 20535 without a remainder.

1, 19, 23, 47, 437, 893, 1081

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20535 and 20539. The biggest common factor number is the GCF number.
So the greatest common factor 20535 and 20539 is 1.

Also check out the Least Common Multiple of 20535 and 20539