What is the Greatest Common Factor of 58760 and 58773?

Greatest common factor (GCF) of 58760 and 58773 is 13.

GCF(58760,58773) = 13

We will now calculate the prime factors of 58760 and 58773, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58760 and 58773.

How to find the GCF of 58760 and 58773?

We will first find the prime factorization of 58760 and 58773. After we will calculate the factors of 58760 and 58773 and find the biggest common factor number .

Step-1: Prime Factorization of 58760

Prime factors of 58760 are 2, 5, 13, 113. Prime factorization of 58760 in exponential form is:

58760 = 2³ × 5¹ × 13¹ × 113¹

Step-2: 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-3: Factors of 58760

List of positive integer factors of 58760 that divides 58760 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 113, 130, 226, 260, 452, 520, 565, 904, 1130, 1469, 2260, 2938, 4520, 5876, 7345, 11752, 14690, 29380

Step-4: Factors of 58773

List of positive integer factors of 58773 that divides 58760 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58760 and 58773. The biggest common factor number is the GCF number.
So the greatest common factor 58760 and 58773 is 13.

Also check out the Least Common Multiple of 58760 and 58773