What is the Greatest Common Factor of 5705 and 5724?

Greatest common factor (GCF) of 5705 and 5724 is 1.

GCF(5705,5724) = 1

We will now calculate the prime factors of 5705 and 5724, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5705 and 5724.

How to find the GCF of 5705 and 5724?

We will first find the prime factorization of 5705 and 5724. After we will calculate the factors of 5705 and 5724 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 5724

Prime factors of 5724 are 2, 3, 53. Prime factorization of 5724 in exponential form is:

5724 = 2² × 3³ × 53¹

Step-3: Factors of 5705

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

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

Step-4: Factors of 5724

List of positive integer factors of 5724 that divides 5705 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 53, 54, 106, 108, 159, 212, 318, 477, 636, 954, 1431, 1908, 2862

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5705 and 5724. The biggest common factor number is the GCF number.
So the greatest common factor 5705 and 5724 is 1.

Also check out the Least Common Multiple of 5705 and 5724