What is the Greatest Common Factor of 57072 and 57078?

Greatest common factor (GCF) of 57072 and 57078 is 6.

GCF(57072,57078) = 6

We will now calculate the prime factors of 57072 and 57078, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57072 and 57078.

How to find the GCF of 57072 and 57078?

We will first find the prime factorization of 57072 and 57078. After we will calculate the factors of 57072 and 57078 and find the biggest common factor number .

Step-1: Prime Factorization of 57072

Prime factors of 57072 are 2, 3, 29, 41. Prime factorization of 57072 in exponential form is:

57072 = 2⁴ × 3¹ × 29¹ × 41¹

Step-2: 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-3: Factors of 57072

List of positive integer factors of 57072 that divides 57072 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 41, 48, 58, 82, 87, 116, 123, 164, 174, 232, 246, 328, 348, 464, 492, 656, 696, 984, 1189, 1392, 1968, 2378, 3567, 4756, 7134, 9512, 14268, 19024, 28536

Step-4: Factors of 57078

List of positive integer factors of 57078 that divides 57072 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57072 and 57078. The biggest common factor number is the GCF number.
So the greatest common factor 57072 and 57078 is 6.

Also check out the Least Common Multiple of 57072 and 57078