What is the Greatest Common Factor of 57314 and 57330?

Greatest common factor (GCF) of 57314 and 57330 is 2.

GCF(57314,57330) = 2

We will now calculate the prime factors of 57314 and 57330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57314 and 57330.

How to find the GCF of 57314 and 57330?

We will first find the prime factorization of 57314 and 57330. After we will calculate the factors of 57314 and 57330 and find the biggest common factor number .

Step-1: Prime Factorization of 57314

Prime factors of 57314 are 2, 28657. Prime factorization of 57314 in exponential form is:

57314 = 2¹ × 28657¹

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 57314

List of positive integer factors of 57314 that divides 57314 without a remainder.

1, 2, 28657

Step-4: Factors of 57330

List of positive integer factors of 57330 that divides 57314 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 57314 and 57330. The biggest common factor number is the GCF number.
So the greatest common factor 57314 and 57330 is 2.

Also check out the Least Common Multiple of 57314 and 57330