What is the Greatest Common Factor of 57700 and 57720?

Greatest common factor (GCF) of 57700 and 57720 is 20.

GCF(57700,57720) = 20

We will now calculate the prime factors of 57700 and 57720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57700 and 57720.

How to find the GCF of 57700 and 57720?

We will first find the prime factorization of 57700 and 57720. After we will calculate the factors of 57700 and 57720 and find the biggest common factor number .

Step-1: Prime Factorization of 57700

Prime factors of 57700 are 2, 5, 577. Prime factorization of 57700 in exponential form is:

57700 = 2² × 5² × 577¹

Step-2: 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-3: Factors of 57700

List of positive integer factors of 57700 that divides 57700 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 577, 1154, 2308, 2885, 5770, 11540, 14425, 28850

Step-4: Factors of 57720

List of positive integer factors of 57720 that divides 57700 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57700 and 57720. The biggest common factor number is the GCF number.
So the greatest common factor 57700 and 57720 is 20.

Also check out the Least Common Multiple of 57700 and 57720