What is the Greatest Common Factor of 57720 and 57730?

Greatest common factor (GCF) of 57720 and 57730 is 10.

GCF(57720,57730) = 10

We will now calculate the prime factors of 57720 and 57730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57720 and 57730.

How to find the GCF of 57720 and 57730?

We will first find the prime factorization of 57720 and 57730. After we will calculate the factors of 57720 and 57730 and find the biggest common factor number .

Step-1: Prime Factorization of 57720

Prime factors of 57720 are 2, 3, 5, 13, 37. Prime factorization of 57720 in exponential form is:

57720 = 2³ × 3¹ × 5¹ × 13¹ × 37¹

Step-2: 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-3: Factors of 57720

List of positive integer factors of 57720 that divides 57720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 26, 30, 37, 39, 40, 52, 60, 65, 74, 78, 104, 111, 120, 130, 148, 156, 185, 195, 222, 260, 296, 312, 370, 390, 444, 481, 520, 555, 740, 780, 888, 962, 1110, 1443, 1480, 1560, 1924, 2220, 2405, 2886, 3848, 4440, 4810, 5772, 7215, 9620, 11544, 14430, 19240, 28860

Step-4: Factors of 57730

List of positive integer factors of 57730 that divides 57720 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57720 and 57730. The biggest common factor number is the GCF number.
So the greatest common factor 57720 and 57730 is 10.

Also check out the Least Common Multiple of 57720 and 57730