What is the Greatest Common Factor of 5740 and 5755?

Greatest common factor (GCF) of 5740 and 5755 is 5.

GCF(5740,5755) = 5

We will now calculate the prime factors of 5740 and 5755, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5740 and 5755.

How to find the GCF of 5740 and 5755?

We will first find the prime factorization of 5740 and 5755. After we will calculate the factors of 5740 and 5755 and find the biggest common factor number .

Step-1: Prime Factorization of 5740

Prime factors of 5740 are 2, 5, 7, 41. Prime factorization of 5740 in exponential form is:

5740 = 2² × 5¹ × 7¹ × 41¹

Step-2: Prime Factorization of 5755

Prime factors of 5755 are 5, 1151. Prime factorization of 5755 in exponential form is:

5755 = 5¹ × 1151¹

Step-3: Factors of 5740

List of positive integer factors of 5740 that divides 5740 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 41, 70, 82, 140, 164, 205, 287, 410, 574, 820, 1148, 1435, 2870

Step-4: Factors of 5755

List of positive integer factors of 5755 that divides 5740 without a remainder.

1, 5, 1151

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5740 and 5755. The biggest common factor number is the GCF number.
So the greatest common factor 5740 and 5755 is 5.

Also check out the Least Common Multiple of 5740 and 5755