Greatest Common Factor of 888 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 888, 890 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 888 and 890 is 2.

GCF(888,890) = 2

GCF of 888 and 890

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

GCF of:
and

Greatest Common Factor of 888 and 890

GCF of 888 and 890 is 2

Prime Factorization of 888


2 888
2 444
2 222
3 111
37 37
1

Prime factors of 888 are 2,3,37. Prime factorization of 888 in exponential form is:

888 = 23×31×371

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 888 and 890 is 2

Greatest Common Factor of 888 and 890 by matching factors method

Factors of 888

List of positive integer factors of 888 that divides 888 without a remainder.

1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888

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 888 and 890. The biggest common factor number is the GCF number.
So the greatest common factor 888 and 890 is 2.

Also check out the Least Common Multiple of 888 and 890

Properties of GCF 888 and 890

(i) The GCF of 888 and 890 is associative

GCF of 888 and 890 = GCF of 890 and 888

Related Greatest Common Factor of 888

Related Greatest Common Factor of 890

Frequently Asked Questions on GCF of 888 and 890

1. What is the GCF of 888 and 890?

Answer: GCF of 888 and 890 is 2.

2. What are the Factors of 888?

Answer: Factors of 888 are 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888. There are 16 integers that are factors of 888. The greatest factor of 888 is 888.

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 888 and 890?

Answer:

Greatest Common Factor of 888 and 890 = 2

Step 1: Find the prime factorization of 888

888 = 2 x 2 x 2 x 3 x 37

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 888 and 890 is 2