Greatest Common Factor of 890 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 890, 896 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 890 and 896 is 2.

GCF(890,896) = 2

GCF of 890 and 896

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

GCF of:
and

Greatest Common Factor of 890 and 896

GCF of 890 and 896 is 2

Prime Factorization of 890


2 890
5 445
89 89
1

Prime factors of 890 are 2,5,89. Prime factorization of 890 in exponential form is:

890 = 21×51×891

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 890 and 896 is 2

Greatest Common Factor of 890 and 896 by matching factors method

Factors of 890

List of positive integer factors of 890 that divides 890 without a remainder.

1,2,5,10,89,178,445,890

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 890 and 896. The biggest common factor number is the GCF number.
So the greatest common factor 890 and 896 is 2.

Also check out the Least Common Multiple of 890 and 896

Properties of GCF 890 and 896

(i) The GCF of 890 and 896 is associative

GCF of 890 and 896 = GCF of 896 and 890

Related Greatest Common Factor of 890

Related Greatest Common Factor of 896

Frequently Asked Questions on GCF of 890 and 896

1. What is the GCF of 890 and 896?

Answer: GCF of 890 and 896 is 2.

2. What are the Factors of 890?

Answer: Factors of 890 are 1, 2, 5, 10, 89, 178, 445, 890. There are 8 integers that are factors of 890. The greatest factor of 890 is 890.

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 890 and 896?

Answer:

Greatest Common Factor of 890 and 896 = 2

Step 1: Find the prime factorization of 890

890 = 2 x 5 x 89

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 = 2

Step 4: Therefore, the greatest common factor of 890 and 896 is 2