What is the Greatest Common Factor of 57323 and 57330?

Greatest common factor (GCF) of 57323 and 57330 is 7.

GCF(57323,57330) = 7

We will now calculate the prime factors of 57323 and 57330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57323 and 57330.

How to find the GCF of 57323 and 57330?

We will first find the prime factorization of 57323 and 57330. After we will calculate the factors of 57323 and 57330 and find the biggest common factor number .

Step-1: Prime Factorization of 57323

Prime factors of 57323 are 7, 19, 431. Prime factorization of 57323 in exponential form is:

57323 = 7¹ × 19¹ × 431¹

Step-2: 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-3: Factors of 57323

List of positive integer factors of 57323 that divides 57323 without a remainder.

1, 7, 19, 133, 431, 3017, 8189

Step-4: Factors of 57330

List of positive integer factors of 57330 that divides 57323 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57323 and 57330. The biggest common factor number is the GCF number.
So the greatest common factor 57323 and 57330 is 7.

Also check out the Least Common Multiple of 57323 and 57330