What is the Greatest Common Factor of 5890 and 5909?

Greatest common factor (GCF) of 5890 and 5909 is 19.

GCF(5890,5909) = 19

We will now calculate the prime factors of 5890 and 5909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5890 and 5909.

How to find the GCF of 5890 and 5909?

We will first find the prime factorization of 5890 and 5909. After we will calculate the factors of 5890 and 5909 and find the biggest common factor number .

Step-1: Prime Factorization of 5890

Prime factors of 5890 are 2, 5, 19, 31. Prime factorization of 5890 in exponential form is:

5890 = 2¹ × 5¹ × 19¹ × 31¹

Step-2: Prime Factorization of 5909

Prime factors of 5909 are 19, 311. Prime factorization of 5909 in exponential form is:

5909 = 19¹ × 311¹

Step-3: Factors of 5890

List of positive integer factors of 5890 that divides 5890 without a remainder.

1, 2, 5, 10, 19, 31, 38, 62, 95, 155, 190, 310, 589, 1178, 2945

Step-4: Factors of 5909

List of positive integer factors of 5909 that divides 5890 without a remainder.

1, 19, 311

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5890 and 5909. The biggest common factor number is the GCF number.
So the greatest common factor 5890 and 5909 is 19.

Also check out the Least Common Multiple of 5890 and 5909