What is the Greatest Common Factor of 58762 and 58774?

Greatest common factor (GCF) of 58762 and 58774 is 2.

GCF(58762,58774) = 2

We will now calculate the prime factors of 58762 and 58774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58762 and 58774.

How to find the GCF of 58762 and 58774?

We will first find the prime factorization of 58762 and 58774. After we will calculate the factors of 58762 and 58774 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 58774

Prime factors of 58774 are 2, 29387. Prime factorization of 58774 in exponential form is:

58774 = 2¹ × 29387¹

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 58774

List of positive integer factors of 58774 that divides 58762 without a remainder.

1, 2, 29387

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58762 and 58774. The biggest common factor number is the GCF number.
So the greatest common factor 58762 and 58774 is 2.

Also check out the Least Common Multiple of 58762 and 58774