What is the Greatest Common Factor of 51840 and 51850?

Greatest common factor (GCF) of 51840 and 51850 is 10.

GCF(51840,51850) = 10

We will now calculate the prime factors of 51840 and 51850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51840 and 51850.

How to find the GCF of 51840 and 51850?

We will first find the prime factorization of 51840 and 51850. After we will calculate the factors of 51840 and 51850 and find the biggest common factor number .

Step-1: Prime Factorization of 51840

Prime factors of 51840 are 2, 3, 5. Prime factorization of 51840 in exponential form is:

51840 = 2⁷ × 3⁴ × 5¹

Step-2: 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-3: Factors of 51840

List of positive integer factors of 51840 that divides 51840 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 32, 36, 40, 45, 48, 54, 60, 64, 72, 80, 81, 90, 96, 108, 120, 128, 135, 144, 160, 162, 180, 192, 216, 240, 270, 288, 320, 324, 360, 384, 405, 432, 480, 540, 576, 640, 648, 720, 810, 864, 960, 1080, 1152, 1296, 1440, 1620, 1728, 1920, 2160, 2592, 2880, 3240, 3456, 4320, 5184, 5760, 6480, 8640, 10368, 12960, 17280, 25920

Step-4: Factors of 51850

List of positive integer factors of 51850 that divides 51840 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51840 and 51850. The biggest common factor number is the GCF number.
So the greatest common factor 51840 and 51850 is 10.

Also check out the Least Common Multiple of 51840 and 51850