What is the Greatest Common Factor of 5661 and 5678?

Greatest common factor (GCF) of 5661 and 5678 is 17.

GCF(5661,5678) = 17

We will now calculate the prime factors of 5661 and 5678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5661 and 5678.

How to find the GCF of 5661 and 5678?

We will first find the prime factorization of 5661 and 5678. After we will calculate the factors of 5661 and 5678 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 5678

Prime factors of 5678 are 2, 17, 167. Prime factorization of 5678 in exponential form is:

5678 = 2¹ × 17¹ × 167¹

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 5678

List of positive integer factors of 5678 that divides 5661 without a remainder.

1, 2, 17, 34, 167, 334, 2839

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5661 and 5678. The biggest common factor number is the GCF number.
So the greatest common factor 5661 and 5678 is 17.

Also check out the Least Common Multiple of 5661 and 5678