What is the Greatest Common Factor of 5686 and 5700?

Greatest common factor (GCF) of 5686 and 5700 is 2.

GCF(5686,5700) = 2

We will now calculate the prime factors of 5686 and 5700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5686 and 5700.

How to find the GCF of 5686 and 5700?

We will first find the prime factorization of 5686 and 5700. After we will calculate the factors of 5686 and 5700 and find the biggest common factor number .

Step-1: Prime Factorization of 5686

Prime factors of 5686 are 2, 2843. Prime factorization of 5686 in exponential form is:

5686 = 2¹ × 2843¹

Step-2: Prime Factorization of 5700

Prime factors of 5700 are 2, 3, 5, 19. Prime factorization of 5700 in exponential form is:

5700 = 2² × 3¹ × 5² × 19¹

Step-3: Factors of 5686

List of positive integer factors of 5686 that divides 5686 without a remainder.

1, 2, 2843

Step-4: Factors of 5700

List of positive integer factors of 5700 that divides 5686 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 25, 30, 38, 50, 57, 60, 75, 76, 95, 100, 114, 150, 190, 228, 285, 300, 380, 475, 570, 950, 1140, 1425, 1900, 2850

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5686 and 5700. The biggest common factor number is the GCF number.
So the greatest common factor 5686 and 5700 is 2.

Also check out the Least Common Multiple of 5686 and 5700