What is the Greatest Common Factor of 57240 and 57249?

Greatest common factor (GCF) of 57240 and 57249 is 9.

GCF(57240,57249) = 9

We will now calculate the prime factors of 57240 and 57249, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57240 and 57249.

How to find the GCF of 57240 and 57249?

We will first find the prime factorization of 57240 and 57249. After we will calculate the factors of 57240 and 57249 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 57249

Prime factors of 57249 are 3, 6361. Prime factorization of 57249 in exponential form is:

57249 = 3² × 6361¹

Step-3: Factors of 57240

List of positive integer factors of 57240 that divides 57240 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

Step-4: Factors of 57249

List of positive integer factors of 57249 that divides 57240 without a remainder.

1, 3, 9, 6361, 19083

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57240 and 57249. The biggest common factor number is the GCF number.
So the greatest common factor 57240 and 57249 is 9.

Also check out the Least Common Multiple of 57240 and 57249