Greatest Common Factor of 8844 and 8849

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 8844, 8849 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8844 and 8849 is 1.

GCF(8844,8849) = 1

GCF of 8844 and 8849

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

GCF of:
and

Greatest Common Factor of 8844 and 8849

GCF of 8844 and 8849 is 1

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

Prime Factorization of 8849


8849 8849
1

Prime factors of 8849 are 8849. Prime factorization of 8849 in exponential form is:

8849 = 88491

∴ So by taking common prime factors GCF of 8844 and 8849 is 1

Greatest Common Factor of 8844 and 8849 by matching factors method

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

Factors of 8849

List of positive integer factors of 8849 that divides 8849 without a remainder.

1,8849

Greatest Common Factor

We found the factors and prime factorization of 8844 and 8849. The biggest common factor number is the GCF number.
So the greatest common factor 8844 and 8849 is 1.

Also check out the Least Common Multiple of 8844 and 8849

Properties of GCF 8844 and 8849

(i) The GCF of 8844 and 8849 is associative

GCF of 8844 and 8849 = GCF of 8849 and 8844

Related Greatest Common Factor of 8844

Related Greatest Common Factor of 8849

Frequently Asked Questions on GCF of 8844 and 8849

1. What is the GCF of 8844 and 8849?

Answer: GCF of 8844 and 8849 is 1.

2. 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.

3. What are the Factors of 8849?

Answer: Factors of 8849 are 1, 8849. There are 2 integers that are factors of 8849. The greatest factor of 8849 is 8849.

4. How to Find the GCF of 8844 and 8849?

Answer:

Greatest Common Factor of 8844 and 8849 = 1

Step 1: Find the prime factorization of 8844

8844 = 2 x 2 x 3 x 11 x 67

Step 2: Find the prime factorization of 8849

8849 = 8849

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 8844 and 8849 is 1