What is the Greatest Common Factor of 51840 and 51846?

Greatest common factor (GCF) of 51840 and 51846 is 6.

GCF(51840,51846) = 6

We will now calculate the prime factors of 51840 and 51846, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51840 and 51846.

How to find the GCF of 51840 and 51846?

We will first find the prime factorization of 51840 and 51846. After we will calculate the factors of 51840 and 51846 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 51846

Prime factors of 51846 are 2, 3, 8641. Prime factorization of 51846 in exponential form is:

51846 = 2¹ × 3¹ × 8641¹

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 51846

List of positive integer factors of 51846 that divides 51840 without a remainder.

1, 2, 3, 6, 8641, 17282, 25923

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51840 and 51846. The biggest common factor number is the GCF number.
So the greatest common factor 51840 and 51846 is 6.

Also check out the Least Common Multiple of 51840 and 51846