What is the Greatest Common Factor of 51851 and 51870?

Greatest common factor (GCF) of 51851 and 51870 is 19.

GCF(51851,51870) = 19

We will now calculate the prime factors of 51851 and 51870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51851 and 51870.

How to find the GCF of 51851 and 51870?

We will first find the prime factorization of 51851 and 51870. After we will calculate the factors of 51851 and 51870 and find the biggest common factor number .

Step-1: Prime Factorization of 51851

Prime factors of 51851 are 19, 2729. Prime factorization of 51851 in exponential form is:

51851 = 19¹ × 2729¹

Step-2: 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-3: Factors of 51851

List of positive integer factors of 51851 that divides 51851 without a remainder.

1, 19, 2729

Step-4: Factors of 51870

List of positive integer factors of 51870 that divides 51851 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51851 and 51870. The biggest common factor number is the GCF number.
So the greatest common factor 51851 and 51870 is 19.

Also check out the Least Common Multiple of 51851 and 51870