What is the Greatest Common Factor of 891 and 899?

Greatest common factor (GCF) of 891 and 899 is 1.

GCF(891,899) = 1

We will now calculate the prime factors of 891 and 899, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 891 and 899.

How to find the GCF of 891 and 899?

We will first find the prime factorization of 891 and 899. After we will calculate the factors of 891 and 899 and find the biggest common factor number .

Step-1: Prime Factorization of 891

Prime factors of 891 are 3, 11. Prime factorization of 891 in exponential form is:

891 = 3⁴ × 11¹

Step-2: Prime Factorization of 899

Prime factors of 899 are 29, 31. Prime factorization of 899 in exponential form is:

899 = 29¹ × 31¹

Step-3: Factors of 891

List of positive integer factors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297

Step-4: Factors of 899

List of positive integer factors of 899 that divides 891 without a remainder.

1, 29, 31

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 891 and 899. The biggest common factor number is the GCF number.
So the greatest common factor 891 and 899 is 1.

Also check out the Least Common Multiple of 891 and 899