Greatest Common Factor of 8838 and 8844

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 8838, 8844 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8838 and 8844 is 6.

GCF(8838,8844) = 6

GCF of 8838 and 8844

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

GCF of:
and

Greatest Common Factor of 8838 and 8844

GCF of 8838 and 8844 is 6

Prime Factorization of 8838


2 8838
3 4419
3 1473
491 491
1

Prime factors of 8838 are 2,3,491. Prime factorization of 8838 in exponential form is:

8838 = 21×32×4911

Prime Factorization of 8844


2 8844
2 4422
3 2211
11 737
67 67
1

Prime factors of 8844 are 2,3,11,67. Prime factorization of 8844 in exponential form is:

8844 = 22×31×111×671

∴ So by taking common prime factors GCF of 8838 and 8844 is 6

Greatest Common Factor of 8838 and 8844 by matching factors method

Factors of 8838

List of positive integer factors of 8838 that divides 8838 without a remainder.

1,2,3,6,9,18,491,982,1473,2946,4419,8838

Factors of 8844

List of positive integer factors of 8844 that divides 8844 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,67,132,134,201,268,402,737,804,1474,2211,2948,4422,8844

Greatest Common Factor

We found the factors and prime factorization of 8838 and 8844. The biggest common factor number is the GCF number.
So the greatest common factor 8838 and 8844 is 6.

Also check out the Least Common Multiple of 8838 and 8844

Properties of GCF 8838 and 8844

(i) The GCF of 8838 and 8844 is associative

GCF of 8838 and 8844 = GCF of 8844 and 8838

Related Greatest Common Factor of 8838

Related Greatest Common Factor of 8844

Frequently Asked Questions on GCF of 8838 and 8844

1. What is the GCF of 8838 and 8844?

Answer: GCF of 8838 and 8844 is 6.

2. What are the Factors of 8838?

Answer: Factors of 8838 are 1, 2, 3, 6, 9, 18, 491, 982, 1473, 2946, 4419, 8838. There are 12 integers that are factors of 8838. The greatest factor of 8838 is 8838.

3. What are the Factors of 8844?

Answer: Factors of 8844 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 67, 132, 134, 201, 268, 402, 737, 804, 1474, 2211, 2948, 4422, 8844. There are 24 integers that are factors of 8844. The greatest factor of 8844 is 8844.

4. How to Find the GCF of 8838 and 8844?

Answer:

Greatest Common Factor of 8838 and 8844 = 6

Step 1: Find the prime factorization of 8838

8838 = 2 x 3 x 3 x 491

Step 2: Find the prime factorization of 8844

8844 = 2 x 2 x 3 x 11 x 67

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 8838 and 8844 is 6