Greatest Common Factor of 8882 and 8890

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 8882, 8890 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8882 and 8890 is 2.

GCF(8882,8890) = 2

GCF of 8882 and 8890

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

GCF of:
and

Greatest Common Factor of 8882 and 8890

GCF of 8882 and 8890 is 2

Prime Factorization of 8882


2 8882
4441 4441
1

Prime factors of 8882 are 2,4441. Prime factorization of 8882 in exponential form is:

8882 = 21×44411

Prime Factorization of 8890


2 8890
5 4445
7 889
127 127
1

Prime factors of 8890 are 2,5,7,127. Prime factorization of 8890 in exponential form is:

8890 = 21×51×71×1271

∴ So by taking common prime factors GCF of 8882 and 8890 is 2

Greatest Common Factor of 8882 and 8890 by matching factors method

Factors of 8882

List of positive integer factors of 8882 that divides 8882 without a remainder.

1,2,4441,8882

Factors of 8890

List of positive integer factors of 8890 that divides 8890 without a remainder.

1,2,5,7,10,14,35,70,127,254,635,889,1270,1778,4445,8890

Greatest Common Factor

We found the factors and prime factorization of 8882 and 8890. The biggest common factor number is the GCF number.
So the greatest common factor 8882 and 8890 is 2.

Also check out the Least Common Multiple of 8882 and 8890

Properties of GCF 8882 and 8890

(i) The GCF of 8882 and 8890 is associative

GCF of 8882 and 8890 = GCF of 8890 and 8882

Related Greatest Common Factor of 8882

Related Greatest Common Factor of 8890

Frequently Asked Questions on GCF of 8882 and 8890

1. What is the GCF of 8882 and 8890?

Answer: GCF of 8882 and 8890 is 2.

2. What are the Factors of 8882?

Answer: Factors of 8882 are 1, 2, 4441, 8882. There are 4 integers that are factors of 8882. The greatest factor of 8882 is 8882.

3. What are the Factors of 8890?

Answer: Factors of 8890 are 1, 2, 5, 7, 10, 14, 35, 70, 127, 254, 635, 889, 1270, 1778, 4445, 8890. There are 16 integers that are factors of 8890. The greatest factor of 8890 is 8890.

4. How to Find the GCF of 8882 and 8890?

Answer:

Greatest Common Factor of 8882 and 8890 = 2

Step 1: Find the prime factorization of 8882

8882 = 2 x 4441

Step 2: Find the prime factorization of 8890

8890 = 2 x 5 x 7 x 127

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 8882 and 8890 is 2