What is the Greatest Common Factor of 57316 and 57330?

Greatest common factor (GCF) of 57316 and 57330 is 14.

GCF(57316,57330) = 14

We will now calculate the prime factors of 57316 and 57330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57316 and 57330.

How to find the GCF of 57316 and 57330?

We will first find the prime factorization of 57316 and 57330. After we will calculate the factors of 57316 and 57330 and find the biggest common factor number .

Step-1: Prime Factorization of 57316

Prime factors of 57316 are 2, 7, 23, 89. Prime factorization of 57316 in exponential form is:

57316 = 2² × 7¹ × 23¹ × 89¹

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 57316

List of positive integer factors of 57316 that divides 57316 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 89, 92, 161, 178, 322, 356, 623, 644, 1246, 2047, 2492, 4094, 8188, 14329, 28658

Step-4: Factors of 57330

List of positive integer factors of 57330 that divides 57316 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 57316 and 57330. The biggest common factor number is the GCF number.
So the greatest common factor 57316 and 57330 is 14.

Also check out the Least Common Multiple of 57316 and 57330