What is the Greatest Common Factor of 5892 and 5911?

Greatest common factor (GCF) of 5892 and 5911 is 1.

GCF(5892,5911) = 1

We will now calculate the prime factors of 5892 and 5911, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5892 and 5911.

How to find the GCF of 5892 and 5911?

We will first find the prime factorization of 5892 and 5911. After we will calculate the factors of 5892 and 5911 and find the biggest common factor number .

Step-1: Prime Factorization of 5892

Prime factors of 5892 are 2, 3, 491. Prime factorization of 5892 in exponential form is:

5892 = 2² × 3¹ × 491¹

Step-2: Prime Factorization of 5911

Prime factors of 5911 are 23, 257. Prime factorization of 5911 in exponential form is:

5911 = 23¹ × 257¹

Step-3: Factors of 5892

List of positive integer factors of 5892 that divides 5892 without a remainder.

1, 2, 3, 4, 6, 12, 491, 982, 1473, 1964, 2946

Step-4: Factors of 5911

List of positive integer factors of 5911 that divides 5892 without a remainder.

1, 23, 257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5892 and 5911. The biggest common factor number is the GCF number.
So the greatest common factor 5892 and 5911 is 1.

Also check out the Least Common Multiple of 5892 and 5911