What is the Greatest Common Factor of 57804 and 57810?

Greatest common factor (GCF) of 57804 and 57810 is 6.

GCF(57804,57810) = 6

We will now calculate the prime factors of 57804 and 57810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57804 and 57810.

How to find the GCF of 57804 and 57810?

We will first find the prime factorization of 57804 and 57810. After we will calculate the factors of 57804 and 57810 and find the biggest common factor number .

Step-1: Prime Factorization of 57804

Prime factors of 57804 are 2, 3, 4817. Prime factorization of 57804 in exponential form is:

57804 = 2² × 3¹ × 4817¹

Step-2: Prime Factorization of 57810

Prime factors of 57810 are 2, 3, 5, 41, 47. Prime factorization of 57810 in exponential form is:

57810 = 2¹ × 3¹ × 5¹ × 41¹ × 47¹

Step-3: Factors of 57804

List of positive integer factors of 57804 that divides 57804 without a remainder.

1, 2, 3, 4, 6, 12, 4817, 9634, 14451, 19268, 28902

Step-4: Factors of 57810

List of positive integer factors of 57810 that divides 57804 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 41, 47, 82, 94, 123, 141, 205, 235, 246, 282, 410, 470, 615, 705, 1230, 1410, 1927, 3854, 5781, 9635, 11562, 19270, 28905

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57804 and 57810. The biggest common factor number is the GCF number.
So the greatest common factor 57804 and 57810 is 6.

Also check out the Least Common Multiple of 57804 and 57810