What is the Greatest Common Factor of 51870 and 51889?

Greatest common factor (GCF) of 51870 and 51889 is 19.

GCF(51870,51889) = 19

We will now calculate the prime factors of 51870 and 51889, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51870 and 51889.

How to find the GCF of 51870 and 51889?

We will first find the prime factorization of 51870 and 51889. After we will calculate the factors of 51870 and 51889 and find the biggest common factor number .

Step-1: Prime Factorization of 51870

Prime factors of 51870 are 2, 3, 5, 7, 13, 19. Prime factorization of 51870 in exponential form is:

51870 = 2¹ × 3¹ × 5¹ × 7¹ × 13¹ × 19¹

Step-2: Prime Factorization of 51889

Prime factors of 51889 are 19, 2731. Prime factorization of 51889 in exponential form is:

51889 = 19¹ × 2731¹

Step-3: Factors of 51870

List of positive integer factors of 51870 that divides 51870 without a remainder.

1, 2, 3, 5, 6, 7, 10, 13, 14, 15, 19, 21, 26, 30, 35, 38, 39, 42, 57, 65, 70, 78, 91, 95, 105, 114, 130, 133, 182, 190, 195, 210, 247, 266, 273, 285, 390, 399, 455, 494, 546, 570, 665, 741, 798, 910, 1235, 1330, 1365, 1482, 1729, 1995, 2470, 2730, 3458, 3705, 3990, 5187, 7410, 8645, 10374, 17290, 25935

Step-4: Factors of 51889

List of positive integer factors of 51889 that divides 51870 without a remainder.

1, 19, 2731

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51870 and 51889. The biggest common factor number is the GCF number.
So the greatest common factor 51870 and 51889 is 19.

Also check out the Least Common Multiple of 51870 and 51889