Greatest Common Factor of 897 and 905

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 897, 905 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 897 and 905 is 1.

GCF(897,905) = 1

GCF of 897 and 905

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 897 and 905

GCF of 897 and 905 is 1

Prime Factorization of 897


3 897
13 299
23 23
1

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

897 = 31×131×231

Prime Factorization of 905


5 905
181 181
1

Prime factors of 905 are 5,181. Prime factorization of 905 in exponential form is:

905 = 51×1811

∴ So by taking common prime factors GCF of 897 and 905 is 1

Greatest Common Factor of 897 and 905 by matching factors method

Factors of 897

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

1,3,13,23,39,69,299,897

Factors of 905

List of positive integer factors of 905 that divides 905 without a remainder.

1,5,181,905

Greatest Common Factor

We found the factors and prime factorization of 897 and 905. The biggest common factor number is the GCF number.
So the greatest common factor 897 and 905 is 1.

Also check out the Least Common Multiple of 897 and 905

Properties of GCF 897 and 905

(i) The GCF of 897 and 905 is associative

GCF of 897 and 905 = GCF of 905 and 897

Related Greatest Common Factor of 897

Related Greatest Common Factor of 905

Frequently Asked Questions on GCF of 897 and 905

1. What is the GCF of 897 and 905?

Answer: GCF of 897 and 905 is 1.

2. What are the Factors of 897?

Answer: Factors of 897 are 1, 3, 13, 23, 39, 69, 299, 897. There are 8 integers that are factors of 897. The greatest factor of 897 is 897.

3. What are the Factors of 905?

Answer: Factors of 905 are 1, 5, 181, 905. There are 4 integers that are factors of 905. The greatest factor of 905 is 905.

4. How to Find the GCF of 897 and 905?

Answer:

Greatest Common Factor of 897 and 905 = 1

Step 1: Find the prime factorization of 897

897 = 3 x 13 x 23

Step 2: Find the prime factorization of 905

905 = 5 x 181

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 897 and 905 is 1