What is the Greatest Common Factor of 891 and 897?

Greatest common factor (GCF) of 891 and 897 is 3.

GCF(891,897) = 3

We will now calculate the prime factors of 891 and 897, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 891 and 897.

How to find the GCF of 891 and 897?

We will first find the prime factorization of 891 and 897. After we will calculate the factors of 891 and 897 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 897

Prime factors of 897 are 3, 13, 23. Prime factorization of 897 in exponential form is:

897 = 3¹ × 13¹ × 23¹

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 897

List of positive integer factors of 897 that divides 891 without a remainder.

1, 3, 13, 23, 39, 69, 299

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 891 and 897. The biggest common factor number is the GCF number.
So the greatest common factor 891 and 897 is 3.

Also check out the Least Common Multiple of 891 and 897