What is the Greatest Common Factor of 5661 and 5669?

Greatest common factor (GCF) of 5661 and 5669 is 1.

GCF(5661,5669) = 1

We will now calculate the prime factors of 5661 and 5669, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5661 and 5669.

How to find the GCF of 5661 and 5669?

We will first find the prime factorization of 5661 and 5669. After we will calculate the factors of 5661 and 5669 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 5669

Prime factors of 5669 are 5669. Prime factorization of 5669 in exponential form is:

5669 = 5669¹

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 5669

List of positive integer factors of 5669 that divides 5661 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5661 and 5669. The biggest common factor number is the GCF number.
So the greatest common factor 5661 and 5669 is 1.

Also check out the Least Common Multiple of 5661 and 5669