Greatest Common Factor of 8844 and 8845

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, 8845 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8844 and 8845 is 1.

GCF(8844,8845) = 1

GCF of 8844 and 8845

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

GCF of:
and

Greatest Common Factor of 8844 and 8845

GCF of 8844 and 8845 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 8845


5 8845
29 1769
61 61
1

Prime factors of 8845 are 5,29,61. Prime factorization of 8845 in exponential form is:

8845 = 51×291×611

∴ So by taking common prime factors GCF of 8844 and 8845 is 1

Greatest Common Factor of 8844 and 8845 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 8845

List of positive integer factors of 8845 that divides 8845 without a remainder.

1,5,29,61,145,305,1769,8845

Greatest Common Factor

We found the factors and prime factorization of 8844 and 8845. The biggest common factor number is the GCF number.
So the greatest common factor 8844 and 8845 is 1.

Also check out the Least Common Multiple of 8844 and 8845

Properties of GCF 8844 and 8845

(i) The GCF of 8844 and 8845 is associative

GCF of 8844 and 8845 = GCF of 8845 and 8844

Frequently Asked Questions on GCF of 8844 and 8845

1. What is the GCF of 8844 and 8845?

Answer: GCF of 8844 and 8845 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 8845?

Answer: Factors of 8845 are 1, 5, 29, 61, 145, 305, 1769, 8845. There are 8 integers that are factors of 8845. The greatest factor of 8845 is 8845.

4. How to Find the GCF of 8844 and 8845?

Answer:

Greatest Common Factor of 8844 and 8845 = 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 8845

8845 = 5 x 29 x 61

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 8845 is 1