What is the Greatest Common Factor of 57078 and 57092?

Greatest common factor (GCF) of 57078 and 57092 is 14.

GCF(57078,57092) = 14

We will now calculate the prime factors of 57078 and 57092, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57078 and 57092.

How to find the GCF of 57078 and 57092?

We will first find the prime factorization of 57078 and 57092. After we will calculate the factors of 57078 and 57092 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 57092

Prime factors of 57092 are 2, 7, 2039. Prime factorization of 57092 in exponential form is:

57092 = 2² × 7¹ × 2039¹

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 57092

List of positive integer factors of 57092 that divides 57078 without a remainder.

1, 2, 4, 7, 14, 28, 2039, 4078, 8156, 14273, 28546

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57078 and 57092. The biggest common factor number is the GCF number.
So the greatest common factor 57078 and 57092 is 14.

Also check out the Least Common Multiple of 57078 and 57092