What is the Greatest Common Factor of 57230 and 57240?

Greatest common factor (GCF) of 57230 and 57240 is 10.

GCF(57230,57240) = 10

We will now calculate the prime factors of 57230 and 57240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57230 and 57240.

How to find the GCF of 57230 and 57240?

We will first find the prime factorization of 57230 and 57240. After we will calculate the factors of 57230 and 57240 and find the biggest common factor number .

Step-1: Prime Factorization of 57230

Prime factors of 57230 are 2, 5, 59, 97. Prime factorization of 57230 in exponential form is:

57230 = 2¹ × 5¹ × 59¹ × 97¹

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 57230

List of positive integer factors of 57230 that divides 57230 without a remainder.

1, 2, 5, 10, 59, 97, 118, 194, 295, 485, 590, 970, 5723, 11446, 28615

Step-4: Factors of 57240

List of positive integer factors of 57240 that divides 57230 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 57230 and 57240. The biggest common factor number is the GCF number.
So the greatest common factor 57230 and 57240 is 10.

Also check out the Least Common Multiple of 57230 and 57240