Greatest Common Factor of 8844 and 8848

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, 8848 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8844 and 8848 is 4.

GCF(8844,8848) = 4

GCF of 8844 and 8848

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

GCF of:
and

Greatest Common Factor of 8844 and 8848

GCF of 8844 and 8848 is 4

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 8848


2 8848
2 4424
2 2212
2 1106
7 553
79 79
1

Prime factors of 8848 are 2,7,79. Prime factorization of 8848 in exponential form is:

8848 = 24×71×791

∴ So by taking common prime factors GCF of 8844 and 8848 is 4

Greatest Common Factor of 8844 and 8848 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 8848

List of positive integer factors of 8848 that divides 8848 without a remainder.

1,2,4,7,8,14,16,28,56,79,112,158,316,553,632,1106,1264,2212,4424,8848

Greatest Common Factor

We found the factors and prime factorization of 8844 and 8848. The biggest common factor number is the GCF number.
So the greatest common factor 8844 and 8848 is 4.

Also check out the Least Common Multiple of 8844 and 8848

Properties of GCF 8844 and 8848

(i) The GCF of 8844 and 8848 is associative

GCF of 8844 and 8848 = GCF of 8848 and 8844

Related Greatest Common Factor of 8844

Related Greatest Common Factor of 8848

Frequently Asked Questions on GCF of 8844 and 8848

1. What is the GCF of 8844 and 8848?

Answer: GCF of 8844 and 8848 is 4.

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 8848?

Answer: Factors of 8848 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 79, 112, 158, 316, 553, 632, 1106, 1264, 2212, 4424, 8848. There are 20 integers that are factors of 8848. The greatest factor of 8848 is 8848.

4. How to Find the GCF of 8844 and 8848?

Answer:

Greatest Common Factor of 8844 and 8848 = 4

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 8848

8848 = 2 x 2 x 2 x 2 x 7 x 79

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 8844 and 8848 is 4