What is the Greatest Common Factor of 58744 and 58762?

Greatest common factor (GCF) of 58744 and 58762 is 2.

GCF(58744,58762) = 2

We will now calculate the prime factors of 58744 and 58762, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58744 and 58762.

How to find the GCF of 58744 and 58762?

We will first find the prime factorization of 58744 and 58762. After we will calculate the factors of 58744 and 58762 and find the biggest common factor number .

Step-1: Prime Factorization of 58744

Prime factors of 58744 are 2, 7, 1049. Prime factorization of 58744 in exponential form is:

58744 = 2³ × 7¹ × 1049¹

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 58744

List of positive integer factors of 58744 that divides 58744 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1049, 2098, 4196, 7343, 8392, 14686, 29372

Step-4: Factors of 58762

List of positive integer factors of 58762 that divides 58744 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58744 and 58762. The biggest common factor number is the GCF number.
So the greatest common factor 58744 and 58762 is 2.

Also check out the Least Common Multiple of 58744 and 58762