What is the Greatest Common Factor of 57099 and 57105?

Greatest common factor (GCF) of 57099 and 57105 is 3.

GCF(57099,57105) = 3

We will now calculate the prime factors of 57099 and 57105, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57099 and 57105.

How to find the GCF of 57099 and 57105?

We will first find the prime factorization of 57099 and 57105. After we will calculate the factors of 57099 and 57105 and find the biggest common factor number .

Step-1: Prime Factorization of 57099

Prime factors of 57099 are 3, 7, 2719. Prime factorization of 57099 in exponential form is:

57099 = 3¹ × 7¹ × 2719¹

Step-2: Prime Factorization of 57105

Prime factors of 57105 are 3, 5, 47. Prime factorization of 57105 in exponential form is:

57105 = 3⁵ × 5¹ × 47¹

Step-3: Factors of 57099

List of positive integer factors of 57099 that divides 57099 without a remainder.

1, 3, 7, 21, 2719, 8157, 19033

Step-4: Factors of 57105

List of positive integer factors of 57105 that divides 57099 without a remainder.

1, 3, 5, 9, 15, 27, 45, 47, 81, 135, 141, 235, 243, 405, 423, 705, 1215, 1269, 2115, 3807, 6345, 11421, 19035

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57099 and 57105. The biggest common factor number is the GCF number.
So the greatest common factor 57099 and 57105 is 3.

Also check out the Least Common Multiple of 57099 and 57105