Greatest Common Factor of 889 and 896

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 889, 896 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 889 and 896 is 7.

GCF(889,896) = 7

GCF of 889 and 896

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

GCF of:
and

Greatest Common Factor of 889 and 896

GCF of 889 and 896 is 7

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

Prime Factorization of 896


2 896
2 448
2 224
2 112
2 56
2 28
2 14
7 7
1

Prime factors of 896 are 2,7. Prime factorization of 896 in exponential form is:

896 = 27×71

∴ So by taking common prime factors GCF of 889 and 896 is 7

Greatest Common Factor of 889 and 896 by matching factors method

Factors of 889

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

1,7,127,889

Factors of 896

List of positive integer factors of 896 that divides 896 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896

Greatest Common Factor

We found the factors and prime factorization of 889 and 896. The biggest common factor number is the GCF number.
So the greatest common factor 889 and 896 is 7.

Also check out the Least Common Multiple of 889 and 896

Properties of GCF 889 and 896

(i) The GCF of 889 and 896 is associative

GCF of 889 and 896 = GCF of 896 and 889

Related Greatest Common Factor of 889

Related Greatest Common Factor of 896

Frequently Asked Questions on GCF of 889 and 896

1. What is the GCF of 889 and 896?

Answer: GCF of 889 and 896 is 7.

2. 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.

3. What are the Factors of 896?

Answer: Factors of 896 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896. There are 16 integers that are factors of 896. The greatest factor of 896 is 896.

4. How to Find the GCF of 889 and 896?

Answer:

Greatest Common Factor of 889 and 896 = 7

Step 1: Find the prime factorization of 889

889 = 7 x 127

Step 2: Find the prime factorization of 896

896 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

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

GCF = 7

Step 4: Therefore, the greatest common factor of 889 and 896 is 7