Greatest Common Factor of 8924 and 8932

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 8924, 8932 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8924 and 8932 is 4.

GCF(8924,8932) = 4

GCF of 8924 and 8932

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

GCF of:
and

Greatest Common Factor of 8924 and 8932

GCF of 8924 and 8932 is 4

Prime Factorization of 8924


2 8924
2 4462
23 2231
97 97
1

Prime factors of 8924 are 2,23,97. Prime factorization of 8924 in exponential form is:

8924 = 22×231×971

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

∴ So by taking common prime factors GCF of 8924 and 8932 is 4

Greatest Common Factor of 8924 and 8932 by matching factors method

Factors of 8924

List of positive integer factors of 8924 that divides 8924 without a remainder.

1,2,4,23,46,92,97,194,388,2231,4462,8924

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

Greatest Common Factor

We found the factors and prime factorization of 8924 and 8932. The biggest common factor number is the GCF number.
So the greatest common factor 8924 and 8932 is 4.

Also check out the Least Common Multiple of 8924 and 8932

Properties of GCF 8924 and 8932

(i) The GCF of 8924 and 8932 is associative

GCF of 8924 and 8932 = GCF of 8932 and 8924

Related Greatest Common Factor of 8924

Related Greatest Common Factor of 8932

Frequently Asked Questions on GCF of 8924 and 8932

1. What is the GCF of 8924 and 8932?

Answer: GCF of 8924 and 8932 is 4.

2. What are the Factors of 8924?

Answer: Factors of 8924 are 1, 2, 4, 23, 46, 92, 97, 194, 388, 2231, 4462, 8924. There are 12 integers that are factors of 8924. The greatest factor of 8924 is 8924.

3. 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.

4. How to Find the GCF of 8924 and 8932?

Answer:

Greatest Common Factor of 8924 and 8932 = 4

Step 1: Find the prime factorization of 8924

8924 = 2 x 2 x 23 x 97

Step 2: Find the prime factorization of 8932

8932 = 2 x 2 x 7 x 11 x 29

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 8924 and 8932 is 4