What is the Greatest Common Factor of 58860 and 58872?

Greatest common factor (GCF) of 58860 and 58872 is 12.

GCF(58860,58872) = 12

We will now calculate the prime factors of 58860 and 58872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58860 and 58872.

How to find the GCF of 58860 and 58872?

We will first find the prime factorization of 58860 and 58872. After we will calculate the factors of 58860 and 58872 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 58872

Prime factors of 58872 are 2, 3, 11, 223. Prime factorization of 58872 in exponential form is:

58872 = 2³ × 3¹ × 11¹ × 223¹

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 58872

List of positive integer factors of 58872 that divides 58860 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 223, 264, 446, 669, 892, 1338, 1784, 2453, 2676, 4906, 5352, 7359, 9812, 14718, 19624, 29436

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58860 and 58872. The biggest common factor number is the GCF number.
So the greatest common factor 58860 and 58872 is 12.

Also check out the Least Common Multiple of 58860 and 58872