What is the Greatest Common Factor of 51850 and 51870?

Greatest common factor (GCF) of 51850 and 51870 is 10.

GCF(51850,51870) = 10

We will now calculate the prime factors of 51850 and 51870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51850 and 51870.

How to find the GCF of 51850 and 51870?

We will first find the prime factorization of 51850 and 51870. After we will calculate the factors of 51850 and 51870 and find the biggest common factor number .

Step-1: Prime Factorization of 51850

Prime factors of 51850 are 2, 5, 17, 61. Prime factorization of 51850 in exponential form is:

51850 = 2¹ × 5² × 17¹ × 61¹

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 51850

List of positive integer factors of 51850 that divides 51850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 61, 85, 122, 170, 305, 425, 610, 850, 1037, 1525, 2074, 3050, 5185, 10370, 25925

Step-4: Factors of 51870

List of positive integer factors of 51870 that divides 51850 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 51850 and 51870. The biggest common factor number is the GCF number.
So the greatest common factor 51850 and 51870 is 10.

Also check out the Least Common Multiple of 51850 and 51870