What is the Greatest Common Factor of 58896 and 58905?

Greatest common factor (GCF) of 58896 and 58905 is 9.

GCF(58896,58905) = 9

We will now calculate the prime factors of 58896 and 58905, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58896 and 58905.

How to find the GCF of 58896 and 58905?

We will first find the prime factorization of 58896 and 58905. After we will calculate the factors of 58896 and 58905 and find the biggest common factor number .

Step-1: Prime Factorization of 58896

Prime factors of 58896 are 2, 3, 409. Prime factorization of 58896 in exponential form is:

58896 = 2⁴ × 3² × 409¹

Step-2: Prime Factorization of 58905

Prime factors of 58905 are 3, 5, 7, 11, 17. Prime factorization of 58905 in exponential form is:

58905 = 3² × 5¹ × 7¹ × 11¹ × 17¹

Step-3: Factors of 58896

List of positive integer factors of 58896 that divides 58896 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 409, 818, 1227, 1636, 2454, 3272, 3681, 4908, 6544, 7362, 9816, 14724, 19632, 29448

Step-4: Factors of 58905

List of positive integer factors of 58905 that divides 58896 without a remainder.

1, 3, 5, 7, 9, 11, 15, 17, 21, 33, 35, 45, 51, 55, 63, 77, 85, 99, 105, 119, 153, 165, 187, 231, 255, 315, 357, 385, 495, 561, 595, 693, 765, 935, 1071, 1155, 1309, 1683, 1785, 2805, 3465, 3927, 5355, 6545, 8415, 11781, 19635

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58896 and 58905. The biggest common factor number is the GCF number.
So the greatest common factor 58896 and 58905 is 9.

Also check out the Least Common Multiple of 58896 and 58905