What is the Greatest Common Factor of 5661 and 5667?

Greatest common factor (GCF) of 5661 and 5667 is 3.

GCF(5661,5667) = 3

We will now calculate the prime factors of 5661 and 5667, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5661 and 5667.

How to find the GCF of 5661 and 5667?

We will first find the prime factorization of 5661 and 5667. After we will calculate the factors of 5661 and 5667 and find the biggest common factor number .

Step-1: Prime Factorization of 5661

Prime factors of 5661 are 3, 17, 37. Prime factorization of 5661 in exponential form is:

5661 = 3² × 17¹ × 37¹

Step-2: Prime Factorization of 5667

Prime factors of 5667 are 3, 1889. Prime factorization of 5667 in exponential form is:

5667 = 3¹ × 1889¹

Step-3: Factors of 5661

List of positive integer factors of 5661 that divides 5661 without a remainder.

1, 3, 9, 17, 37, 51, 111, 153, 333, 629, 1887

Step-4: Factors of 5667

List of positive integer factors of 5667 that divides 5661 without a remainder.

1, 3, 1889

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5661 and 5667. The biggest common factor number is the GCF number.
So the greatest common factor 5661 and 5667 is 3.

Also check out the Least Common Multiple of 5661 and 5667