What is the Greatest Common Factor of 58776 and 58784?

Greatest common factor (GCF) of 58776 and 58784 is 8.

GCF(58776,58784) = 8

We will now calculate the prime factors of 58776 and 58784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58776 and 58784.

How to find the GCF of 58776 and 58784?

We will first find the prime factorization of 58776 and 58784. After we will calculate the factors of 58776 and 58784 and find the biggest common factor number .

Step-1: Prime Factorization of 58776

Prime factors of 58776 are 2, 3, 31, 79. Prime factorization of 58776 in exponential form is:

58776 = 2³ × 3¹ × 31¹ × 79¹

Step-2: 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-3: Factors of 58776

List of positive integer factors of 58776 that divides 58776 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 79, 93, 124, 158, 186, 237, 248, 316, 372, 474, 632, 744, 948, 1896, 2449, 4898, 7347, 9796, 14694, 19592, 29388

Step-4: Factors of 58784

List of positive integer factors of 58784 that divides 58776 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58776 and 58784. The biggest common factor number is the GCF number.
So the greatest common factor 58776 and 58784 is 8.

Also check out the Least Common Multiple of 58776 and 58784