What is the Greatest Common Factor of 59523 and 59535?

Greatest common factor (GCF) of 59523 and 59535 is 3.

GCF(59523,59535) = 3

We will now calculate the prime factors of 59523 and 59535, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59523 and 59535.

How to find the GCF of 59523 and 59535?

We will first find the prime factorization of 59523 and 59535. After we will calculate the factors of 59523 and 59535 and find the biggest common factor number .

Step-1: Prime Factorization of 59523

Prime factors of 59523 are 3, 19841. Prime factorization of 59523 in exponential form is:

59523 = 3¹ × 19841¹

Step-2: Prime Factorization of 59535

Prime factors of 59535 are 3, 5, 7. Prime factorization of 59535 in exponential form is:

59535 = 3⁵ × 5¹ × 7²

Step-3: Factors of 59523

List of positive integer factors of 59523 that divides 59523 without a remainder.

1, 3, 19841

Step-4: Factors of 59535

List of positive integer factors of 59535 that divides 59523 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 49, 63, 81, 105, 135, 147, 189, 243, 245, 315, 405, 441, 567, 735, 945, 1215, 1323, 1701, 2205, 2835, 3969, 6615, 8505, 11907, 19845

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59523 and 59535. The biggest common factor number is the GCF number.
So the greatest common factor 59523 and 59535 is 3.

Also check out the Least Common Multiple of 59523 and 59535