What is the Greatest Common Factor of 58124 and 58140?

Greatest common factor (GCF) of 58124 and 58140 is 4.

GCF(58124,58140) = 4

We will now calculate the prime factors of 58124 and 58140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58124 and 58140.

How to find the GCF of 58124 and 58140?

We will first find the prime factorization of 58124 and 58140. After we will calculate the factors of 58124 and 58140 and find the biggest common factor number .

Step-1: Prime Factorization of 58124

Prime factors of 58124 are 2, 11, 1321. Prime factorization of 58124 in exponential form is:

58124 = 2² × 11¹ × 1321¹

Step-2: Prime Factorization of 58140

Prime factors of 58140 are 2, 3, 5, 17, 19. Prime factorization of 58140 in exponential form is:

58140 = 2² × 3² × 5¹ × 17¹ × 19¹

Step-3: Factors of 58124

List of positive integer factors of 58124 that divides 58124 without a remainder.

1, 2, 4, 11, 22, 44, 1321, 2642, 5284, 14531, 29062

Step-4: Factors of 58140

List of positive integer factors of 58140 that divides 58124 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 17, 18, 19, 20, 30, 34, 36, 38, 45, 51, 57, 60, 68, 76, 85, 90, 95, 102, 114, 153, 170, 171, 180, 190, 204, 228, 255, 285, 306, 323, 340, 342, 380, 510, 570, 612, 646, 684, 765, 855, 969, 1020, 1140, 1292, 1530, 1615, 1710, 1938, 2907, 3060, 3230, 3420, 3876, 4845, 5814, 6460, 9690, 11628, 14535, 19380, 29070

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58124 and 58140. The biggest common factor number is the GCF number.
So the greatest common factor 58124 and 58140 is 4.

Also check out the Least Common Multiple of 58124 and 58140