What is the Greatest Common Factor of 57078 and 57096?

Greatest common factor (GCF) of 57078 and 57096 is 18.

GCF(57078,57096) = 18

We will now calculate the prime factors of 57078 and 57096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57078 and 57096.

How to find the GCF of 57078 and 57096?

We will first find the prime factorization of 57078 and 57096. After we will calculate the factors of 57078 and 57096 and find the biggest common factor number .

Step-1: Prime Factorization of 57078

Prime factors of 57078 are 2, 3, 7, 151. Prime factorization of 57078 in exponential form is:

57078 = 2¹ × 3³ × 7¹ × 151¹

Step-2: Prime Factorization of 57096

Prime factors of 57096 are 2, 3, 13, 61. Prime factorization of 57096 in exponential form is:

57096 = 2³ × 3² × 13¹ × 61¹

Step-3: Factors of 57078

List of positive integer factors of 57078 that divides 57078 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 151, 189, 302, 378, 453, 906, 1057, 1359, 2114, 2718, 3171, 4077, 6342, 8154, 9513, 19026, 28539

Step-4: Factors of 57096

List of positive integer factors of 57096 that divides 57078 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 61, 72, 78, 104, 117, 122, 156, 183, 234, 244, 312, 366, 468, 488, 549, 732, 793, 936, 1098, 1464, 1586, 2196, 2379, 3172, 4392, 4758, 6344, 7137, 9516, 14274, 19032, 28548

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57078 and 57096. The biggest common factor number is the GCF number.
So the greatest common factor 57078 and 57096 is 18.

Also check out the Least Common Multiple of 57078 and 57096