What is the Greatest Common Factor of 5649 and 5661?

Greatest common factor (GCF) of 5649 and 5661 is 3.

GCF(5649,5661) = 3

We will now calculate the prime factors of 5649 and 5661, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5649 and 5661.

How to find the GCF of 5649 and 5661?

We will first find the prime factorization of 5649 and 5661. After we will calculate the factors of 5649 and 5661 and find the biggest common factor number .

Step-1: Prime Factorization of 5649

Prime factors of 5649 are 3, 7, 269. Prime factorization of 5649 in exponential form is:

5649 = 3¹ × 7¹ × 269¹

Step-2: 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-3: Factors of 5649

List of positive integer factors of 5649 that divides 5649 without a remainder.

1, 3, 7, 21, 269, 807, 1883

Step-4: Factors of 5661

List of positive integer factors of 5661 that divides 5649 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5649 and 5661. The biggest common factor number is the GCF number.
So the greatest common factor 5649 and 5661 is 3.

Also check out the Least Common Multiple of 5649 and 5661