What is the Greatest Common Factor of 58736 and 58742?

Greatest common factor (GCF) of 58736 and 58742 is 2.

GCF(58736,58742) = 2

We will now calculate the prime factors of 58736 and 58742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58736 and 58742.

How to find the GCF of 58736 and 58742?

We will first find the prime factorization of 58736 and 58742. After we will calculate the factors of 58736 and 58742 and find the biggest common factor number .

Step-1: Prime Factorization of 58736

Prime factors of 58736 are 2, 3671. Prime factorization of 58736 in exponential form is:

58736 = 2⁴ × 3671¹

Step-2: Prime Factorization of 58742

Prime factors of 58742 are 2, 23, 1277. Prime factorization of 58742 in exponential form is:

58742 = 2¹ × 23¹ × 1277¹

Step-3: Factors of 58736

List of positive integer factors of 58736 that divides 58736 without a remainder.

1, 2, 4, 8, 16, 3671, 7342, 14684, 29368

Step-4: Factors of 58742

List of positive integer factors of 58742 that divides 58736 without a remainder.

1, 2, 23, 46, 1277, 2554, 29371

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58736 and 58742. The biggest common factor number is the GCF number.
So the greatest common factor 58736 and 58742 is 2.

Also check out the Least Common Multiple of 58736 and 58742