What is the Greatest Common Factor of 5676 and 5686?

Greatest common factor (GCF) of 5676 and 5686 is 2.

GCF(5676,5686) = 2

We will now calculate the prime factors of 5676 and 5686, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5676 and 5686.

How to find the GCF of 5676 and 5686?

We will first find the prime factorization of 5676 and 5686. After we will calculate the factors of 5676 and 5686 and find the biggest common factor number .

Step-1: Prime Factorization of 5676

Prime factors of 5676 are 2, 3, 11, 43. Prime factorization of 5676 in exponential form is:

5676 = 2² × 3¹ × 11¹ × 43¹

Step-2: Prime Factorization of 5686

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

5686 = 2¹ × 2843¹

Step-3: Factors of 5676

List of positive integer factors of 5676 that divides 5676 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 43, 44, 66, 86, 129, 132, 172, 258, 473, 516, 946, 1419, 1892, 2838

Step-4: Factors of 5686

List of positive integer factors of 5686 that divides 5676 without a remainder.

1, 2, 2843

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5676 and 5686. The biggest common factor number is the GCF number.
So the greatest common factor 5676 and 5686 is 2.

Also check out the Least Common Multiple of 5676 and 5686