What is the Greatest Common Factor of 5894 and 5908?

Greatest common factor (GCF) of 5894 and 5908 is 14.

GCF(5894,5908) = 14

We will now calculate the prime factors of 5894 and 5908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5894 and 5908.

How to find the GCF of 5894 and 5908?

We will first find the prime factorization of 5894 and 5908. After we will calculate the factors of 5894 and 5908 and find the biggest common factor number .

Step-1: Prime Factorization of 5894

Prime factors of 5894 are 2, 7, 421. Prime factorization of 5894 in exponential form is:

5894 = 2¹ × 7¹ × 421¹

Step-2: Prime Factorization of 5908

Prime factors of 5908 are 2, 7, 211. Prime factorization of 5908 in exponential form is:

5908 = 2² × 7¹ × 211¹

Step-3: Factors of 5894

List of positive integer factors of 5894 that divides 5894 without a remainder.

1, 2, 7, 14, 421, 842, 2947

Step-4: Factors of 5908

List of positive integer factors of 5908 that divides 5894 without a remainder.

1, 2, 4, 7, 14, 28, 211, 422, 844, 1477, 2954

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5894 and 5908. The biggest common factor number is the GCF number.
So the greatest common factor 5894 and 5908 is 14.

Also check out the Least Common Multiple of 5894 and 5908