Greatest Common Factor of 8932 and 8936

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, 8936 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8932 and 8936 is 4.

GCF(8932,8936) = 4

GCF of 8932 and 8936

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

GCF of:
and

Greatest Common Factor of 8932 and 8936

GCF of 8932 and 8936 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 8936


2 8936
2 4468
2 2234
1117 1117
1

Prime factors of 8936 are 2,1117. Prime factorization of 8936 in exponential form is:

8936 = 23×11171

∴ So by taking common prime factors GCF of 8932 and 8936 is 4

Greatest Common Factor of 8932 and 8936 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 8936

List of positive integer factors of 8936 that divides 8936 without a remainder.

1,2,4,8,1117,2234,4468,8936

Greatest Common Factor

We found the factors and prime factorization of 8932 and 8936. The biggest common factor number is the GCF number.
So the greatest common factor 8932 and 8936 is 4.

Also check out the Least Common Multiple of 8932 and 8936

Properties of GCF 8932 and 8936

(i) The GCF of 8932 and 8936 is associative

GCF of 8932 and 8936 = GCF of 8936 and 8932

Related Greatest Common Factor of 8932

Related Greatest Common Factor of 8936

Frequently Asked Questions on GCF of 8932 and 8936

1. What is the GCF of 8932 and 8936?

Answer: GCF of 8932 and 8936 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 8936?

Answer: Factors of 8936 are 1, 2, 4, 8, 1117, 2234, 4468, 8936. There are 8 integers that are factors of 8936. The greatest factor of 8936 is 8936.

4. How to Find the GCF of 8932 and 8936?

Answer:

Greatest Common Factor of 8932 and 8936 = 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 8936

8936 = 2 x 2 x 2 x 1117

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 8936 is 4