What is the Greatest Common Factor of 51830 and 51840?

Greatest common factor (GCF) of 51830 and 51840 is 10.

GCF(51830,51840) = 10

We will now calculate the prime factors of 51830 and 51840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51830 and 51840.

How to find the GCF of 51830 and 51840?

We will first find the prime factorization of 51830 and 51840. After we will calculate the factors of 51830 and 51840 and find the biggest common factor number .

Step-1: Prime Factorization of 51830

Prime factors of 51830 are 2, 5, 71, 73. Prime factorization of 51830 in exponential form is:

51830 = 2¹ × 5¹ × 71¹ × 73¹

Step-2: 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-3: Factors of 51830

List of positive integer factors of 51830 that divides 51830 without a remainder.

1, 2, 5, 10, 71, 73, 142, 146, 355, 365, 710, 730, 5183, 10366, 25915

Step-4: Factors of 51840

List of positive integer factors of 51840 that divides 51830 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51830 and 51840. The biggest common factor number is the GCF number.
So the greatest common factor 51830 and 51840 is 10.

Also check out the Least Common Multiple of 51830 and 51840