Greatest Common Factor of 884 and 889

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 884, 889 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 884 and 889 is 1.

GCF(884,889) = 1

GCF of 884 and 889

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

GCF of:
and

Greatest Common Factor of 884 and 889

GCF of 884 and 889 is 1

Prime Factorization of 884


2 884
2 442
13 221
17 17
1

Prime factors of 884 are 2,13,17. Prime factorization of 884 in exponential form is:

884 = 22×131×171

Prime Factorization of 889


7 889
127 127
1

Prime factors of 889 are 7,127. Prime factorization of 889 in exponential form is:

889 = 71×1271

∴ So by taking common prime factors GCF of 884 and 889 is 1

Greatest Common Factor of 884 and 889 by matching factors method

Factors of 884

List of positive integer factors of 884 that divides 884 without a remainder.

1,2,4,13,17,26,34,52,68,221,442,884

Factors of 889

List of positive integer factors of 889 that divides 889 without a remainder.

1,7,127,889

Greatest Common Factor

We found the factors and prime factorization of 884 and 889. The biggest common factor number is the GCF number.
So the greatest common factor 884 and 889 is 1.

Also check out the Least Common Multiple of 884 and 889

Properties of GCF 884 and 889

(i) The GCF of 884 and 889 is associative

GCF of 884 and 889 = GCF of 889 and 884

Related Greatest Common Factor of 884

Related Greatest Common Factor of 889

Frequently Asked Questions on GCF of 884 and 889

1. What is the GCF of 884 and 889?

Answer: GCF of 884 and 889 is 1.

2. What are the Factors of 884?

Answer: Factors of 884 are 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884. There are 12 integers that are factors of 884. The greatest factor of 884 is 884.

3. What are the Factors of 889?

Answer: Factors of 889 are 1, 7, 127, 889. There are 4 integers that are factors of 889. The greatest factor of 889 is 889.

4. How to Find the GCF of 884 and 889?

Answer:

Greatest Common Factor of 884 and 889 = 1

Step 1: Find the prime factorization of 884

884 = 2 x 2 x 13 x 17

Step 2: Find the prime factorization of 889

889 = 7 x 127

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 884 and 889 is 1