What is the Greatest Common Factor of 58854 and 58869?

Greatest common factor (GCF) of 58854 and 58869 is 3.

GCF(58854,58869) = 3

We will now calculate the prime factors of 58854 and 58869, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58854 and 58869.

How to find the GCF of 58854 and 58869?

We will first find the prime factorization of 58854 and 58869. After we will calculate the factors of 58854 and 58869 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 58869

Prime factors of 58869 are 3, 31, 211. Prime factorization of 58869 in exponential form is:

58869 = 3² × 31¹ × 211¹

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 58869

List of positive integer factors of 58869 that divides 58854 without a remainder.

1, 3, 9, 31, 93, 211, 279, 633, 1899, 6541, 19623

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58854 and 58869. The biggest common factor number is the GCF number.
So the greatest common factor 58854 and 58869 is 3.

Also check out the Least Common Multiple of 58854 and 58869