Greatest Common Factor of 8940 and 8944

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 8940, 8944 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8940 and 8944 is 4.

GCF(8940,8944) = 4

GCF of 8940 and 8944

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

GCF of:
and

Greatest Common Factor of 8940 and 8944

GCF of 8940 and 8944 is 4

Prime Factorization of 8940


2 8940
2 4470
3 2235
5 745
149 149
1

Prime factors of 8940 are 2,3,5,149. Prime factorization of 8940 in exponential form is:

8940 = 22×31×51×1491

Prime Factorization of 8944


2 8944
2 4472
2 2236
2 1118
13 559
43 43
1

Prime factors of 8944 are 2,13,43. Prime factorization of 8944 in exponential form is:

8944 = 24×131×431

∴ So by taking common prime factors GCF of 8940 and 8944 is 4

Greatest Common Factor of 8940 and 8944 by matching factors method

Factors of 8940

List of positive integer factors of 8940 that divides 8940 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,149,298,447,596,745,894,1490,1788,2235,2980,4470,8940

Factors of 8944

List of positive integer factors of 8944 that divides 8944 without a remainder.

1,2,4,8,13,16,26,43,52,86,104,172,208,344,559,688,1118,2236,4472,8944

Greatest Common Factor

We found the factors and prime factorization of 8940 and 8944. The biggest common factor number is the GCF number.
So the greatest common factor 8940 and 8944 is 4.

Also check out the Least Common Multiple of 8940 and 8944

Properties of GCF 8940 and 8944

(i) The GCF of 8940 and 8944 is associative

GCF of 8940 and 8944 = GCF of 8944 and 8940

Related Greatest Common Factor of 8940

Related Greatest Common Factor of 8944

Frequently Asked Questions on GCF of 8940 and 8944

1. What is the GCF of 8940 and 8944?

Answer: GCF of 8940 and 8944 is 4.

2. What are the Factors of 8940?

Answer: Factors of 8940 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 149, 298, 447, 596, 745, 894, 1490, 1788, 2235, 2980, 4470, 8940. There are 24 integers that are factors of 8940. The greatest factor of 8940 is 8940.

3. What are the Factors of 8944?

Answer: Factors of 8944 are 1, 2, 4, 8, 13, 16, 26, 43, 52, 86, 104, 172, 208, 344, 559, 688, 1118, 2236, 4472, 8944. There are 20 integers that are factors of 8944. The greatest factor of 8944 is 8944.

4. How to Find the GCF of 8940 and 8944?

Answer:

Greatest Common Factor of 8940 and 8944 = 4

Step 1: Find the prime factorization of 8940

8940 = 2 x 2 x 3 x 5 x 149

Step 2: Find the prime factorization of 8944

8944 = 2 x 2 x 2 x 2 x 13 x 43

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 8940 and 8944 is 4