What is the Greatest Common Factor of 59814 and 59829?

Greatest common factor (GCF) of 59814 and 59829 is 3.

GCF(59814,59829) = 3

We will now calculate the prime factors of 59814 and 59829, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59814 and 59829.

How to find the GCF of 59814 and 59829?

We will first find the prime factorization of 59814 and 59829. After we will calculate the factors of 59814 and 59829 and find the biggest common factor number .

Step-1: Prime Factorization of 59814

Prime factors of 59814 are 2, 3, 3323. Prime factorization of 59814 in exponential form is:

59814 = 2¹ × 3² × 3323¹

Step-2: Prime Factorization of 59829

Prime factors of 59829 are 3, 7, 11, 37. Prime factorization of 59829 in exponential form is:

59829 = 3¹ × 7² × 11¹ × 37¹

Step-3: Factors of 59814

List of positive integer factors of 59814 that divides 59814 without a remainder.

1, 2, 3, 6, 9, 18, 3323, 6646, 9969, 19938, 29907

Step-4: Factors of 59829

List of positive integer factors of 59829 that divides 59814 without a remainder.

1, 3, 7, 11, 21, 33, 37, 49, 77, 111, 147, 231, 259, 407, 539, 777, 1221, 1617, 1813, 2849, 5439, 8547, 19943

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59814 and 59829. The biggest common factor number is the GCF number.
So the greatest common factor 59814 and 59829 is 3.

Also check out the Least Common Multiple of 59814 and 59829