Greatest Common Factor of 884 and 890

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, 890 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 884 and 890 is 2.

GCF(884,890) = 2

GCF of 884 and 890

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

GCF of:
and

Greatest Common Factor of 884 and 890

GCF of 884 and 890 is 2

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 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

∴ So by taking common prime factors GCF of 884 and 890 is 2

Greatest Common Factor of 884 and 890 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 890

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

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

Greatest Common Factor

We found the factors and prime factorization of 884 and 890. The biggest common factor number is the GCF number.
So the greatest common factor 884 and 890 is 2.

Also check out the Least Common Multiple of 884 and 890

Properties of GCF 884 and 890

(i) The GCF of 884 and 890 is associative

GCF of 884 and 890 = GCF of 890 and 884

Related Greatest Common Factor of 884

Related Greatest Common Factor of 890

Frequently Asked Questions on GCF of 884 and 890

1. What is the GCF of 884 and 890?

Answer: GCF of 884 and 890 is 2.

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 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.

4. How to Find the GCF of 884 and 890?

Answer:

Greatest Common Factor of 884 and 890 = 2

Step 1: Find the prime factorization of 884

884 = 2 x 2 x 13 x 17

Step 2: Find the prime factorization of 890

890 = 2 x 5 x 89

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 884 and 890 is 2