What is the Greatest Common Factor of 58860 and 58878?

Greatest common factor (GCF) of 58860 and 58878 is 18.

GCF(58860,58878) = 18

We will now calculate the prime factors of 58860 and 58878, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58860 and 58878.

How to find the GCF of 58860 and 58878?

We will first find the prime factorization of 58860 and 58878. After we will calculate the factors of 58860 and 58878 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 58878

Prime factors of 58878 are 2, 3, 3271. Prime factorization of 58878 in exponential form is:

58878 = 2¹ × 3² × 3271¹

Step-3: Factors of 58860

List of positive integer factors of 58860 that divides 58860 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

Step-4: Factors of 58878

List of positive integer factors of 58878 that divides 58860 without a remainder.

1, 2, 3, 6, 9, 18, 3271, 6542, 9813, 19626, 29439

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58860 and 58878. The biggest common factor number is the GCF number.
So the greatest common factor 58860 and 58878 is 18.

Also check out the Least Common Multiple of 58860 and 58878