Greatest Common Factor of 8932 and 8940

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 8932, 8940 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8932 and 8940 is 4.

GCF(8932,8940) = 4

GCF of 8932 and 8940

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

GCF of:
and

Greatest Common Factor of 8932 and 8940

GCF of 8932 and 8940 is 4

Prime Factorization of 8932


2 8932
2 4466
7 2233
11 319
29 29
1

Prime factors of 8932 are 2,7,11,29. Prime factorization of 8932 in exponential form is:

8932 = 22×71×111×291

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

∴ So by taking common prime factors GCF of 8932 and 8940 is 4

Greatest Common Factor of 8932 and 8940 by matching factors method

Factors of 8932

List of positive integer factors of 8932 that divides 8932 without a remainder.

1,2,4,7,11,14,22,28,29,44,58,77,116,154,203,308,319,406,638,812,1276,2233,4466,8932

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

Greatest Common Factor

We found the factors and prime factorization of 8932 and 8940. The biggest common factor number is the GCF number.
So the greatest common factor 8932 and 8940 is 4.

Also check out the Least Common Multiple of 8932 and 8940

Properties of GCF 8932 and 8940

(i) The GCF of 8932 and 8940 is associative

GCF of 8932 and 8940 = GCF of 8940 and 8932

Related Greatest Common Factor of 8932

Related Greatest Common Factor of 8940

Frequently Asked Questions on GCF of 8932 and 8940

1. What is the GCF of 8932 and 8940?

Answer: GCF of 8932 and 8940 is 4.

2. What are the Factors of 8932?

Answer: Factors of 8932 are 1, 2, 4, 7, 11, 14, 22, 28, 29, 44, 58, 77, 116, 154, 203, 308, 319, 406, 638, 812, 1276, 2233, 4466, 8932. There are 24 integers that are factors of 8932. The greatest factor of 8932 is 8932.

3. 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.

4. How to Find the GCF of 8932 and 8940?

Answer:

Greatest Common Factor of 8932 and 8940 = 4

Step 1: Find the prime factorization of 8932

8932 = 2 x 2 x 7 x 11 x 29

Step 2: Find the prime factorization of 8940

8940 = 2 x 2 x 3 x 5 x 149

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 8932 and 8940 is 4