What is the Greatest Common Factor of 57805 and 57820?

Greatest common factor (GCF) of 57805 and 57820 is 5.

GCF(57805,57820) = 5

We will now calculate the prime factors of 57805 and 57820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57805 and 57820.

How to find the GCF of 57805 and 57820?

We will first find the prime factorization of 57805 and 57820. After we will calculate the factors of 57805 and 57820 and find the biggest common factor number .

Step-1: Prime Factorization of 57805

Prime factors of 57805 are 5, 11, 1051. Prime factorization of 57805 in exponential form is:

57805 = 5¹ × 11¹ × 1051¹

Step-2: Prime Factorization of 57820

Prime factors of 57820 are 2, 5, 7, 59. Prime factorization of 57820 in exponential form is:

57820 = 2² × 5¹ × 7² × 59¹

Step-3: Factors of 57805

List of positive integer factors of 57805 that divides 57805 without a remainder.

1, 5, 11, 55, 1051, 5255, 11561

Step-4: Factors of 57820

List of positive integer factors of 57820 that divides 57805 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 59, 70, 98, 118, 140, 196, 236, 245, 295, 413, 490, 590, 826, 980, 1180, 1652, 2065, 2891, 4130, 5782, 8260, 11564, 14455, 28910

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57805 and 57820. The biggest common factor number is the GCF number.
So the greatest common factor 57805 and 57820 is 5.

Also check out the Least Common Multiple of 57805 and 57820