What is the Greatest Common Factor of 59830 and 59850?

Greatest common factor (GCF) of 59830 and 59850 is 10.

GCF(59830,59850) = 10

We will now calculate the prime factors of 59830 and 59850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59830 and 59850.

How to find the GCF of 59830 and 59850?

We will first find the prime factorization of 59830 and 59850. After we will calculate the factors of 59830 and 59850 and find the biggest common factor number .

Step-1: Prime Factorization of 59830

Prime factors of 59830 are 2, 5, 31, 193. Prime factorization of 59830 in exponential form is:

59830 = 2¹ × 5¹ × 31¹ × 193¹

Step-2: Prime Factorization of 59850

Prime factors of 59850 are 2, 3, 5, 7, 19. Prime factorization of 59850 in exponential form is:

59850 = 2¹ × 3² × 5² × 7¹ × 19¹

Step-3: Factors of 59830

List of positive integer factors of 59830 that divides 59830 without a remainder.

1, 2, 5, 10, 31, 62, 155, 193, 310, 386, 965, 1930, 5983, 11966, 29915

Step-4: Factors of 59850

List of positive integer factors of 59850 that divides 59830 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 19, 21, 25, 30, 35, 38, 42, 45, 50, 57, 63, 70, 75, 90, 95, 105, 114, 126, 133, 150, 171, 175, 190, 210, 225, 266, 285, 315, 342, 350, 399, 450, 475, 525, 570, 630, 665, 798, 855, 950, 1050, 1197, 1330, 1425, 1575, 1710, 1995, 2394, 2850, 3150, 3325, 3990, 4275, 5985, 6650, 8550, 9975, 11970, 19950, 29925

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59830 and 59850. The biggest common factor number is the GCF number.
So the greatest common factor 59830 and 59850 is 10.

Also check out the Least Common Multiple of 59830 and 59850