What is the Greatest Common Factor of 59823 and 59837?

Greatest common factor (GCF) of 59823 and 59837 is 1.

GCF(59823,59837) = 1

We will now calculate the prime factors of 59823 and 59837, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59823 and 59837.

How to find the GCF of 59823 and 59837?

We will first find the prime factorization of 59823 and 59837. After we will calculate the factors of 59823 and 59837 and find the biggest common factor number .

Step-1: Prime Factorization of 59823

Prime factors of 59823 are 3, 17, 23. Prime factorization of 59823 in exponential form is:

59823 = 3² × 17² × 23¹

Step-2: Prime Factorization of 59837

Prime factors of 59837 are 53, 1129. Prime factorization of 59837 in exponential form is:

59837 = 53¹ × 1129¹

Step-3: Factors of 59823

List of positive integer factors of 59823 that divides 59823 without a remainder.

1, 3, 9, 17, 23, 51, 69, 153, 207, 289, 391, 867, 1173, 2601, 3519, 6647, 19941

Step-4: Factors of 59837

List of positive integer factors of 59837 that divides 59823 without a remainder.

1, 53, 1129

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59823 and 59837. The biggest common factor number is the GCF number.
So the greatest common factor 59823 and 59837 is 1.

Also check out the Least Common Multiple of 59823 and 59837