What is the Greatest Common Factor of 58854 and 58860?

Greatest common factor (GCF) of 58854 and 58860 is 6.

GCF(58854,58860) = 6

We will now calculate the prime factors of 58854 and 58860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58854 and 58860.

How to find the GCF of 58854 and 58860?

We will first find the prime factorization of 58854 and 58860. After we will calculate the factors of 58854 and 58860 and find the biggest common factor number .

Step-1: Prime Factorization of 58854

Prime factors of 58854 are 2, 3, 17, 577. Prime factorization of 58854 in exponential form is:

58854 = 2¹ × 3¹ × 17¹ × 577¹

Step-2: Prime Factorization of 58860

Prime factors of 58860 are 2, 3, 5, 109. Prime factorization of 58860 in exponential form is:

58860 = 2² × 3³ × 5¹ × 109¹

Step-3: Factors of 58854

List of positive integer factors of 58854 that divides 58854 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 577, 1154, 1731, 3462, 9809, 19618, 29427

Step-4: Factors of 58860

List of positive integer factors of 58860 that divides 58854 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 109, 135, 180, 218, 270, 327, 436, 540, 545, 654, 981, 1090, 1308, 1635, 1962, 2180, 2943, 3270, 3924, 4905, 5886, 6540, 9810, 11772, 14715, 19620, 29430

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58854 and 58860. The biggest common factor number is the GCF number.
So the greatest common factor 58854 and 58860 is 6.

Also check out the Least Common Multiple of 58854 and 58860