What is the Greatest Common Factor of 58762 and 58773?

Greatest common factor (GCF) of 58762 and 58773 is 11.

GCF(58762,58773) = 11

We will now calculate the prime factors of 58762 and 58773, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58762 and 58773.

How to find the GCF of 58762 and 58773?

We will first find the prime factorization of 58762 and 58773. After we will calculate the factors of 58762 and 58773 and find the biggest common factor number .

Step-1: Prime Factorization of 58762

Prime factors of 58762 are 2, 11, 2671. Prime factorization of 58762 in exponential form is:

58762 = 2¹ × 11¹ × 2671¹

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 58762

List of positive integer factors of 58762 that divides 58762 without a remainder.

1, 2, 11, 22, 2671, 5342, 29381

Step-4: Factors of 58773

List of positive integer factors of 58773 that divides 58762 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 58762 and 58773. The biggest common factor number is the GCF number.
So the greatest common factor 58762 and 58773 is 11.

Also check out the Least Common Multiple of 58762 and 58773