What is the Greatest Common Factor of 57730 and 57734?

Greatest common factor (GCF) of 57730 and 57734 is 2.

GCF(57730,57734) = 2

We will now calculate the prime factors of 57730 and 57734, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57730 and 57734.

How to find the GCF of 57730 and 57734?

We will first find the prime factorization of 57730 and 57734. After we will calculate the factors of 57730 and 57734 and find the biggest common factor number .

Step-1: Prime Factorization of 57730

Prime factors of 57730 are 2, 5, 23, 251. Prime factorization of 57730 in exponential form is:

57730 = 2¹ × 5¹ × 23¹ × 251¹

Step-2: Prime Factorization of 57734

Prime factors of 57734 are 2, 28867. Prime factorization of 57734 in exponential form is:

57734 = 2¹ × 28867¹

Step-3: Factors of 57730

List of positive integer factors of 57730 that divides 57730 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230, 251, 502, 1255, 2510, 5773, 11546, 28865

Step-4: Factors of 57734

List of positive integer factors of 57734 that divides 57730 without a remainder.

1, 2, 28867

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57730 and 57734. The biggest common factor number is the GCF number.
So the greatest common factor 57730 and 57734 is 2.

Also check out the Least Common Multiple of 57730 and 57734