What is the Greatest Common Factor of 59806 and 59823?

Greatest common factor (GCF) of 59806 and 59823 is 17.

GCF(59806,59823) = 17

We will now calculate the prime factors of 59806 and 59823, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59806 and 59823.

How to find the GCF of 59806 and 59823?

We will first find the prime factorization of 59806 and 59823. After we will calculate the factors of 59806 and 59823 and find the biggest common factor number .

Step-1: Prime Factorization of 59806

Prime factors of 59806 are 2, 17, 1759. Prime factorization of 59806 in exponential form is:

59806 = 2¹ × 17¹ × 1759¹

Step-2: 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-3: Factors of 59806

List of positive integer factors of 59806 that divides 59806 without a remainder.

1, 2, 17, 34, 1759, 3518, 29903

Step-4: Factors of 59823

List of positive integer factors of 59823 that divides 59806 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59806 and 59823. The biggest common factor number is the GCF number.
So the greatest common factor 59806 and 59823 is 17.

Also check out the Least Common Multiple of 59806 and 59823