What is the Greatest Common Factor of 5685 and 5705?

Greatest common factor (GCF) of 5685 and 5705 is 5.

GCF(5685,5705) = 5

We will now calculate the prime factors of 5685 and 5705, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5685 and 5705.

How to find the GCF of 5685 and 5705?

We will first find the prime factorization of 5685 and 5705. After we will calculate the factors of 5685 and 5705 and find the biggest common factor number .

Step-1: Prime Factorization of 5685

Prime factors of 5685 are 3, 5, 379. Prime factorization of 5685 in exponential form is:

5685 = 3¹ × 5¹ × 379¹

Step-2: Prime Factorization of 5705

Prime factors of 5705 are 5, 7, 163. Prime factorization of 5705 in exponential form is:

5705 = 5¹ × 7¹ × 163¹

Step-3: Factors of 5685

List of positive integer factors of 5685 that divides 5685 without a remainder.

1, 3, 5, 15, 379, 1137, 1895

Step-4: Factors of 5705

List of positive integer factors of 5705 that divides 5685 without a remainder.

1, 5, 7, 35, 163, 815, 1141

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5685 and 5705. The biggest common factor number is the GCF number.
So the greatest common factor 5685 and 5705 is 5.

Also check out the Least Common Multiple of 5685 and 5705