What is the Greatest Common Factor of 58784 and 58795?

Greatest common factor (GCF) of 58784 and 58795 is 11.

GCF(58784,58795) = 11

We will now calculate the prime factors of 58784 and 58795, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58784 and 58795.

How to find the GCF of 58784 and 58795?

We will first find the prime factorization of 58784 and 58795. After we will calculate the factors of 58784 and 58795 and find the biggest common factor number .

Step-1: Prime Factorization of 58784

Prime factors of 58784 are 2, 11, 167. Prime factorization of 58784 in exponential form is:

58784 = 2⁵ × 11¹ × 167¹

Step-2: Prime Factorization of 58795

Prime factors of 58795 are 5, 11, 1069. Prime factorization of 58795 in exponential form is:

58795 = 5¹ × 11¹ × 1069¹

Step-3: Factors of 58784

List of positive integer factors of 58784 that divides 58784 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 167, 176, 334, 352, 668, 1336, 1837, 2672, 3674, 5344, 7348, 14696, 29392

Step-4: Factors of 58795

List of positive integer factors of 58795 that divides 58784 without a remainder.

1, 5, 11, 55, 1069, 5345, 11759

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58784 and 58795. The biggest common factor number is the GCF number.
So the greatest common factor 58784 and 58795 is 11.

Also check out the Least Common Multiple of 58784 and 58795