What is the Greatest Common Factor of 57330 and 57350?

Greatest common factor (GCF) of 57330 and 57350 is 10.

GCF(57330,57350) = 10

We will now calculate the prime factors of 57330 and 57350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57330 and 57350.

How to find the GCF of 57330 and 57350?

We will first find the prime factorization of 57330 and 57350. After we will calculate the factors of 57330 and 57350 and find the biggest common factor number .

Step-1: Prime Factorization of 57330

Prime factors of 57330 are 2, 3, 5, 7, 13. Prime factorization of 57330 in exponential form is:

57330 = 2¹ × 3² × 5¹ × 7² × 13¹

Step-2: Prime Factorization of 57350

Prime factors of 57350 are 2, 5, 31, 37. Prime factorization of 57350 in exponential form is:

57350 = 2¹ × 5² × 31¹ × 37¹

Step-3: Factors of 57330

List of positive integer factors of 57330 that divides 57330 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 13, 14, 15, 18, 21, 26, 30, 35, 39, 42, 45, 49, 63, 65, 70, 78, 90, 91, 98, 105, 117, 126, 130, 147, 182, 195, 210, 234, 245, 273, 294, 315, 390, 441, 455, 490, 546, 585, 630, 637, 735, 819, 882, 910, 1170, 1274, 1365, 1470, 1638, 1911, 2205, 2730, 3185, 3822, 4095, 4410, 5733, 6370, 8190, 9555, 11466, 19110, 28665

Step-4: Factors of 57350

List of positive integer factors of 57350 that divides 57330 without a remainder.

1, 2, 5, 10, 25, 31, 37, 50, 62, 74, 155, 185, 310, 370, 775, 925, 1147, 1550, 1850, 2294, 5735, 11470, 28675

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57330 and 57350. The biggest common factor number is the GCF number.
So the greatest common factor 57330 and 57350 is 10.

Also check out the Least Common Multiple of 57330 and 57350