What is the Greatest Common Factor of 57064 and 57078?

Greatest common factor (GCF) of 57064 and 57078 is 14.

GCF(57064,57078) = 14

We will now calculate the prime factors of 57064 and 57078, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57064 and 57078.

How to find the GCF of 57064 and 57078?

We will first find the prime factorization of 57064 and 57078. After we will calculate the factors of 57064 and 57078 and find the biggest common factor number .

Step-1: Prime Factorization of 57064

Prime factors of 57064 are 2, 7, 1019. Prime factorization of 57064 in exponential form is:

57064 = 2³ × 7¹ × 1019¹

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 57064

List of positive integer factors of 57064 that divides 57064 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1019, 2038, 4076, 7133, 8152, 14266, 28532

Step-4: Factors of 57078

List of positive integer factors of 57078 that divides 57064 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 57064 and 57078. The biggest common factor number is the GCF number.
So the greatest common factor 57064 and 57078 is 14.

Also check out the Least Common Multiple of 57064 and 57078