Greatest Common Factor of 8889 and 8892

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 8889, 8892 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8889 and 8892 is 3.

GCF(8889,8892) = 3

GCF of 8889 and 8892

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

GCF of:
and

Greatest Common Factor of 8889 and 8892

GCF of 8889 and 8892 is 3

Prime Factorization of 8889


3 8889
2963 2963
1

Prime factors of 8889 are 3,2963. Prime factorization of 8889 in exponential form is:

8889 = 31×29631

Prime Factorization of 8892


2 8892
2 4446
3 2223
3 741
13 247
19 19
1

Prime factors of 8892 are 2,3,13,19. Prime factorization of 8892 in exponential form is:

8892 = 22×32×131×191

∴ So by taking common prime factors GCF of 8889 and 8892 is 3

Greatest Common Factor of 8889 and 8892 by matching factors method

Factors of 8889

List of positive integer factors of 8889 that divides 8889 without a remainder.

1,3,2963,8889

Factors of 8892

List of positive integer factors of 8892 that divides 8892 without a remainder.

1,2,3,4,6,9,12,13,18,19,26,36,38,39,52,57,76,78,114,117,156,171,228,234,247,342,468,494,684,741,988,1482,2223,2964,4446,8892

Greatest Common Factor

We found the factors and prime factorization of 8889 and 8892. The biggest common factor number is the GCF number.
So the greatest common factor 8889 and 8892 is 3.

Also check out the Least Common Multiple of 8889 and 8892

Properties of GCF 8889 and 8892

(i) The GCF of 8889 and 8892 is associative

GCF of 8889 and 8892 = GCF of 8892 and 8889

Related Greatest Common Factor of 8889

Related Greatest Common Factor of 8892

Frequently Asked Questions on GCF of 8889 and 8892

1. What is the GCF of 8889 and 8892?

Answer: GCF of 8889 and 8892 is 3.

2. What are the Factors of 8889?

Answer: Factors of 8889 are 1, 3, 2963, 8889. There are 4 integers that are factors of 8889. The greatest factor of 8889 is 8889.

3. What are the Factors of 8892?

Answer: Factors of 8892 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 19, 26, 36, 38, 39, 52, 57, 76, 78, 114, 117, 156, 171, 228, 234, 247, 342, 468, 494, 684, 741, 988, 1482, 2223, 2964, 4446, 8892. There are 36 integers that are factors of 8892. The greatest factor of 8892 is 8892.

4. How to Find the GCF of 8889 and 8892?

Answer:

Greatest Common Factor of 8889 and 8892 = 3

Step 1: Find the prime factorization of 8889

8889 = 3 x 2963

Step 2: Find the prime factorization of 8892

8892 = 2 x 2 x 3 x 3 x 13 x 19

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

GCF = 3

Step 4: Therefore, the greatest common factor of 8889 and 8892 is 3