What is the Greatest Common Factor of 57234 and 57240?

Greatest common factor (GCF) of 57234 and 57240 is 6.

GCF(57234,57240) = 6

We will now calculate the prime factors of 57234 and 57240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57234 and 57240.

How to find the GCF of 57234 and 57240?

We will first find the prime factorization of 57234 and 57240. After we will calculate the factors of 57234 and 57240 and find the biggest common factor number .

Step-1: Prime Factorization of 57234

Prime factors of 57234 are 2, 3, 9539. Prime factorization of 57234 in exponential form is:

57234 = 2¹ × 3¹ × 9539¹

Step-2: Prime Factorization of 57240

Prime factors of 57240 are 2, 3, 5, 53. Prime factorization of 57240 in exponential form is:

57240 = 2³ × 3³ × 5¹ × 53¹

Step-3: Factors of 57234

List of positive integer factors of 57234 that divides 57234 without a remainder.

1, 2, 3, 6, 9539, 19078, 28617

Step-4: Factors of 57240

List of positive integer factors of 57240 that divides 57234 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 53, 54, 60, 72, 90, 106, 108, 120, 135, 159, 180, 212, 216, 265, 270, 318, 360, 424, 477, 530, 540, 636, 795, 954, 1060, 1080, 1272, 1431, 1590, 1908, 2120, 2385, 2862, 3180, 3816, 4770, 5724, 6360, 7155, 9540, 11448, 14310, 19080, 28620

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57234 and 57240. The biggest common factor number is the GCF number.
So the greatest common factor 57234 and 57240 is 6.

Also check out the Least Common Multiple of 57234 and 57240