What is the Greatest Common Factor of 51870 and 51879?

Greatest common factor (GCF) of 51870 and 51879 is 3.

GCF(51870,51879) = 3

We will now calculate the prime factors of 51870 and 51879, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51870 and 51879.

How to find the GCF of 51870 and 51879?

We will first find the prime factorization of 51870 and 51879. After we will calculate the factors of 51870 and 51879 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 51879

Prime factors of 51879 are 3, 17293. Prime factorization of 51879 in exponential form is:

51879 = 3¹ × 17293¹

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 51879

List of positive integer factors of 51879 that divides 51870 without a remainder.

1, 3, 17293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51870 and 51879. The biggest common factor number is the GCF number.
So the greatest common factor 51870 and 51879 is 3.

Also check out the Least Common Multiple of 51870 and 51879