What is the Greatest Common Factor of 58816 and 58824?

Greatest common factor (GCF) of 58816 and 58824 is 8.

GCF(58816,58824) = 8

We will now calculate the prime factors of 58816 and 58824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58816 and 58824.

How to find the GCF of 58816 and 58824?

We will first find the prime factorization of 58816 and 58824. After we will calculate the factors of 58816 and 58824 and find the biggest common factor number .

Step-1: Prime Factorization of 58816

Prime factors of 58816 are 2, 919. Prime factorization of 58816 in exponential form is:

58816 = 2⁶ × 919¹

Step-2: Prime Factorization of 58824

Prime factors of 58824 are 2, 3, 19, 43. Prime factorization of 58824 in exponential form is:

58824 = 2³ × 3² × 19¹ × 43¹

Step-3: Factors of 58816

List of positive integer factors of 58816 that divides 58816 without a remainder.

1, 2, 4, 8, 16, 32, 64, 919, 1838, 3676, 7352, 14704, 29408

Step-4: Factors of 58824

List of positive integer factors of 58824 that divides 58816 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 36, 38, 43, 57, 72, 76, 86, 114, 129, 152, 171, 172, 228, 258, 342, 344, 387, 456, 516, 684, 774, 817, 1032, 1368, 1548, 1634, 2451, 3096, 3268, 4902, 6536, 7353, 9804, 14706, 19608, 29412

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58816 and 58824. The biggest common factor number is the GCF number.
So the greatest common factor 58816 and 58824 is 8.

Also check out the Least Common Multiple of 58816 and 58824