What is the Greatest Common Factor of 51870 and 51883?

Greatest common factor (GCF) of 51870 and 51883 is 13.

GCF(51870,51883) = 13

We will now calculate the prime factors of 51870 and 51883, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51870 and 51883.

How to find the GCF of 51870 and 51883?

We will first find the prime factorization of 51870 and 51883. After we will calculate the factors of 51870 and 51883 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 51883

Prime factors of 51883 are 13, 307. Prime factorization of 51883 in exponential form is:

51883 = 13² × 307¹

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 51883

List of positive integer factors of 51883 that divides 51870 without a remainder.

1, 13, 169, 307, 3991

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51870 and 51883. The biggest common factor number is the GCF number.
So the greatest common factor 51870 and 51883 is 13.

Also check out the Least Common Multiple of 51870 and 51883