What is the Greatest Common Factor of 59778 and 59793?

Greatest common factor (GCF) of 59778 and 59793 is 3.

GCF(59778,59793) = 3

We will now calculate the prime factors of 59778 and 59793, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59778 and 59793.

How to find the GCF of 59778 and 59793?

We will first find the prime factorization of 59778 and 59793. After we will calculate the factors of 59778 and 59793 and find the biggest common factor number .

Step-1: Prime Factorization of 59778

Prime factors of 59778 are 2, 3, 41. Prime factorization of 59778 in exponential form is:

59778 = 2¹ × 3⁶ × 41¹

Step-2: Prime Factorization of 59793

Prime factors of 59793 are 3, 19, 1049. Prime factorization of 59793 in exponential form is:

59793 = 3¹ × 19¹ × 1049¹

Step-3: Factors of 59778

List of positive integer factors of 59778 that divides 59778 without a remainder.

1, 2, 3, 6, 9, 18, 27, 41, 54, 81, 82, 123, 162, 243, 246, 369, 486, 729, 738, 1107, 1458, 2214, 3321, 6642, 9963, 19926, 29889

Step-4: Factors of 59793

List of positive integer factors of 59793 that divides 59778 without a remainder.

1, 3, 19, 57, 1049, 3147, 19931

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59778 and 59793. The biggest common factor number is the GCF number.
So the greatest common factor 59778 and 59793 is 3.

Also check out the Least Common Multiple of 59778 and 59793