What is the Greatest Common Factor of 58140 and 58150?

Greatest common factor (GCF) of 58140 and 58150 is 10.

GCF(58140,58150) = 10

We will now calculate the prime factors of 58140 and 58150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58140 and 58150.

How to find the GCF of 58140 and 58150?

We will first find the prime factorization of 58140 and 58150. After we will calculate the factors of 58140 and 58150 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 58150

Prime factors of 58150 are 2, 5, 1163. Prime factorization of 58150 in exponential form is:

58150 = 2¹ × 5² × 1163¹

Step-3: Factors of 58140

List of positive integer factors of 58140 that divides 58140 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

Step-4: Factors of 58150

List of positive integer factors of 58150 that divides 58140 without a remainder.

1, 2, 5, 10, 25, 50, 1163, 2326, 5815, 11630, 29075

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58140 and 58150. The biggest common factor number is the GCF number.
So the greatest common factor 58140 and 58150 is 10.

Also check out the Least Common Multiple of 58140 and 58150