What is the Greatest Common Factor of 58751 and 58762?

Greatest common factor (GCF) of 58751 and 58762 is 11.

GCF(58751,58762) = 11

We will now calculate the prime factors of 58751 and 58762, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58751 and 58762.

How to find the GCF of 58751 and 58762?

We will first find the prime factorization of 58751 and 58762. After we will calculate the factors of 58751 and 58762 and find the biggest common factor number .

Step-1: Prime Factorization of 58751

Prime factors of 58751 are 7, 11, 109. Prime factorization of 58751 in exponential form is:

58751 = 7² × 11¹ × 109¹

Step-2: 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-3: Factors of 58751

List of positive integer factors of 58751 that divides 58751 without a remainder.

1, 7, 11, 49, 77, 109, 539, 763, 1199, 5341, 8393

Step-4: Factors of 58762

List of positive integer factors of 58762 that divides 58751 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58751 and 58762. The biggest common factor number is the GCF number.
So the greatest common factor 58751 and 58762 is 11.

Also check out the Least Common Multiple of 58751 and 58762