What is the Greatest Common Factor of 58824 and 58838?

Greatest common factor (GCF) of 58824 and 58838 is 2.

GCF(58824,58838) = 2

We will now calculate the prime factors of 58824 and 58838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58824 and 58838.

How to find the GCF of 58824 and 58838?

We will first find the prime factorization of 58824 and 58838. After we will calculate the factors of 58824 and 58838 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 58838

Prime factors of 58838 are 2, 13, 31, 73. Prime factorization of 58838 in exponential form is:

58838 = 2¹ × 13¹ × 31¹ × 73¹

Step-3: Factors of 58824

List of positive integer factors of 58824 that divides 58824 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

Step-4: Factors of 58838

List of positive integer factors of 58838 that divides 58824 without a remainder.

1, 2, 13, 26, 31, 62, 73, 146, 403, 806, 949, 1898, 2263, 4526, 29419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58824 and 58838. The biggest common factor number is the GCF number.
So the greatest common factor 58824 and 58838 is 2.

Also check out the Least Common Multiple of 58824 and 58838