What is the Greatest Common Factor of 58773 and 58786?

Greatest common factor (GCF) of 58773 and 58786 is 13.

GCF(58773,58786) = 13

We will now calculate the prime factors of 58773 and 58786, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58773 and 58786.

How to find the GCF of 58773 and 58786?

We will first find the prime factorization of 58773 and 58786. After we will calculate the factors of 58773 and 58786 and find the biggest common factor number .

Step-1: Prime Factorization of 58773

Prime factors of 58773 are 3, 11, 13, 137. Prime factorization of 58773 in exponential form is:

58773 = 3¹ × 11¹ × 13¹ × 137¹

Step-2: Prime Factorization of 58786

Prime factors of 58786 are 2, 7, 13, 17, 19. Prime factorization of 58786 in exponential form is:

58786 = 2¹ × 7¹ × 13¹ × 17¹ × 19¹

Step-3: Factors of 58773

List of positive integer factors of 58773 that divides 58773 without a remainder.

1, 3, 11, 13, 33, 39, 137, 143, 411, 429, 1507, 1781, 4521, 5343, 19591

Step-4: Factors of 58786

List of positive integer factors of 58786 that divides 58773 without a remainder.

1, 2, 7, 13, 14, 17, 19, 26, 34, 38, 91, 119, 133, 182, 221, 238, 247, 266, 323, 442, 494, 646, 1547, 1729, 2261, 3094, 3458, 4199, 4522, 8398, 29393

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58773 and 58786. The biggest common factor number is the GCF number.
So the greatest common factor 58773 and 58786 is 13.

Also check out the Least Common Multiple of 58773 and 58786