What is the Greatest Common Factor of 57897 and 57915?

Greatest common factor (GCF) of 57897 and 57915 is 9.

GCF(57897,57915) = 9

We will now calculate the prime factors of 57897 and 57915, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57897 and 57915.

How to find the GCF of 57897 and 57915?

We will first find the prime factorization of 57897 and 57915. After we will calculate the factors of 57897 and 57915 and find the biggest common factor number .

Step-1: Prime Factorization of 57897

Prime factors of 57897 are 3, 7, 919. Prime factorization of 57897 in exponential form is:

57897 = 3² × 7¹ × 919¹

Step-2: Prime Factorization of 57915

Prime factors of 57915 are 3, 5, 11, 13. Prime factorization of 57915 in exponential form is:

57915 = 3⁴ × 5¹ × 11¹ × 13¹

Step-3: Factors of 57897

List of positive integer factors of 57897 that divides 57897 without a remainder.

1, 3, 7, 9, 21, 63, 919, 2757, 6433, 8271, 19299

Step-4: Factors of 57915

List of positive integer factors of 57915 that divides 57897 without a remainder.

1, 3, 5, 9, 11, 13, 15, 27, 33, 39, 45, 55, 65, 81, 99, 117, 135, 143, 165, 195, 297, 351, 405, 429, 495, 585, 715, 891, 1053, 1287, 1485, 1755, 2145, 3861, 4455, 5265, 6435, 11583, 19305

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57897 and 57915. The biggest common factor number is the GCF number.
So the greatest common factor 57897 and 57915 is 9.

Also check out the Least Common Multiple of 57897 and 57915