What is the Greatest Common Factor of 58824 and 58841?

Greatest common factor (GCF) of 58824 and 58841 is 1.

GCF(58824,58841) = 1

We will now calculate the prime factors of 58824 and 58841, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58824 and 58841.

How to find the GCF of 58824 and 58841?

We will first find the prime factorization of 58824 and 58841. After we will calculate the factors of 58824 and 58841 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 58841

Prime factors of 58841 are 29, 2029. Prime factorization of 58841 in exponential form is:

58841 = 29¹ × 2029¹

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 58841

List of positive integer factors of 58841 that divides 58824 without a remainder.

1, 29, 2029

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58824 and 58841. The biggest common factor number is the GCF number.
So the greatest common factor 58824 and 58841 is 1.

Also check out the Least Common Multiple of 58824 and 58841