What is the Greatest Common Factor of 57680 and 57700?

Greatest common factor (GCF) of 57680 and 57700 is 20.

GCF(57680,57700) = 20

We will now calculate the prime factors of 57680 and 57700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57680 and 57700.

How to find the GCF of 57680 and 57700?

We will first find the prime factorization of 57680 and 57700. After we will calculate the factors of 57680 and 57700 and find the biggest common factor number .

Step-1: Prime Factorization of 57680

Prime factors of 57680 are 2, 5, 7, 103. Prime factorization of 57680 in exponential form is:

57680 = 2⁴ × 5¹ × 7¹ × 103¹

Step-2: 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-3: Factors of 57680

List of positive integer factors of 57680 that divides 57680 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 103, 112, 140, 206, 280, 412, 515, 560, 721, 824, 1030, 1442, 1648, 2060, 2884, 3605, 4120, 5768, 7210, 8240, 11536, 14420, 28840

Step-4: Factors of 57700

List of positive integer factors of 57700 that divides 57680 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57680 and 57700. The biggest common factor number is the GCF number.
So the greatest common factor 57680 and 57700 is 20.

Also check out the Least Common Multiple of 57680 and 57700