What is the Greatest Common Factor of 58130 and 58140?

Greatest common factor (GCF) of 58130 and 58140 is 10.

GCF(58130,58140) = 10

We will now calculate the prime factors of 58130 and 58140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58130 and 58140.

How to find the GCF of 58130 and 58140?

We will first find the prime factorization of 58130 and 58140. After we will calculate the factors of 58130 and 58140 and find the biggest common factor number .

Step-1: Prime Factorization of 58130

Prime factors of 58130 are 2, 5, 5813. Prime factorization of 58130 in exponential form is:

58130 = 2¹ × 5¹ × 5813¹

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 58130

List of positive integer factors of 58130 that divides 58130 without a remainder.

1, 2, 5, 10, 5813, 11626, 29065

Step-4: Factors of 58140

List of positive integer factors of 58140 that divides 58130 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 58130 and 58140. The biggest common factor number is the GCF number.
So the greatest common factor 58130 and 58140 is 10.

Also check out the Least Common Multiple of 58130 and 58140