Greatest Common Factor of 8897 and 8898

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 8897, 8898 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8897 and 8898 is 1.

GCF(8897,8898) = 1

GCF of 8897 and 8898

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

GCF of:
and

Greatest Common Factor of 8897 and 8898

GCF of 8897 and 8898 is 1

Prime Factorization of 8897


7 8897
31 1271
41 41
1

Prime factors of 8897 are 7,31,41. Prime factorization of 8897 in exponential form is:

8897 = 71×311×411

Prime Factorization of 8898


2 8898
3 4449
1483 1483
1

Prime factors of 8898 are 2,3,1483. Prime factorization of 8898 in exponential form is:

8898 = 21×31×14831

∴ So by taking common prime factors GCF of 8897 and 8898 is 1

Greatest Common Factor of 8897 and 8898 by matching factors method

Factors of 8897

List of positive integer factors of 8897 that divides 8897 without a remainder.

1,7,31,41,217,287,1271,8897

Factors of 8898

List of positive integer factors of 8898 that divides 8898 without a remainder.

1,2,3,6,1483,2966,4449,8898

Greatest Common Factor

We found the factors and prime factorization of 8897 and 8898. The biggest common factor number is the GCF number.
So the greatest common factor 8897 and 8898 is 1.

Also check out the Least Common Multiple of 8897 and 8898

Properties of GCF 8897 and 8898

(i) The GCF of 8897 and 8898 is associative

GCF of 8897 and 8898 = GCF of 8898 and 8897

Related Greatest Common Factor of 8897

Related Greatest Common Factor of 8898

Frequently Asked Questions on GCF of 8897 and 8898

1. What is the GCF of 8897 and 8898?

Answer: GCF of 8897 and 8898 is 1.

2. What are the Factors of 8897?

Answer: Factors of 8897 are 1, 7, 31, 41, 217, 287, 1271, 8897. There are 8 integers that are factors of 8897. The greatest factor of 8897 is 8897.

3. What are the Factors of 8898?

Answer: Factors of 8898 are 1, 2, 3, 6, 1483, 2966, 4449, 8898. There are 8 integers that are factors of 8898. The greatest factor of 8898 is 8898.

4. How to Find the GCF of 8897 and 8898?

Answer:

Greatest Common Factor of 8897 and 8898 = 1

Step 1: Find the prime factorization of 8897

8897 = 7 x 31 x 41

Step 2: Find the prime factorization of 8898

8898 = 2 x 3 x 1483

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 8897 and 8898 is 1