What is the Greatest Common Factor of 57928 and 57946?

Greatest common factor (GCF) of 57928 and 57946 is 2.

GCF(57928,57946) = 2

We will now calculate the prime factors of 57928 and 57946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57928 and 57946.

How to find the GCF of 57928 and 57946?

We will first find the prime factorization of 57928 and 57946. After we will calculate the factors of 57928 and 57946 and find the biggest common factor number .

Step-1: Prime Factorization of 57928

Prime factors of 57928 are 2, 13, 557. Prime factorization of 57928 in exponential form is:

57928 = 2³ × 13¹ × 557¹

Step-2: Prime Factorization of 57946

Prime factors of 57946 are 2, 7, 4139. Prime factorization of 57946 in exponential form is:

57946 = 2¹ × 7¹ × 4139¹

Step-3: Factors of 57928

List of positive integer factors of 57928 that divides 57928 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 557, 1114, 2228, 4456, 7241, 14482, 28964

Step-4: Factors of 57946

List of positive integer factors of 57946 that divides 57928 without a remainder.

1, 2, 7, 14, 4139, 8278, 28973

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57928 and 57946. The biggest common factor number is the GCF number.
So the greatest common factor 57928 and 57946 is 2.

Also check out the Least Common Multiple of 57928 and 57946