Greatest Common Factor of 8944 and 8952

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 8944, 8952 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8944 and 8952 is 8.

GCF(8944,8952) = 8

GCF of 8944 and 8952

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

GCF of:
and

Greatest Common Factor of 8944 and 8952

GCF of 8944 and 8952 is 8

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

Prime Factorization of 8952


2 8952
2 4476
2 2238
3 1119
373 373
1

Prime factors of 8952 are 2,3,373. Prime factorization of 8952 in exponential form is:

8952 = 23×31×3731

∴ So by taking common prime factors GCF of 8944 and 8952 is 8

Greatest Common Factor of 8944 and 8952 by matching factors method

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

Factors of 8952

List of positive integer factors of 8952 that divides 8952 without a remainder.

1,2,3,4,6,8,12,24,373,746,1119,1492,2238,2984,4476,8952

Greatest Common Factor

We found the factors and prime factorization of 8944 and 8952. The biggest common factor number is the GCF number.
So the greatest common factor 8944 and 8952 is 8.

Also check out the Least Common Multiple of 8944 and 8952

Properties of GCF 8944 and 8952

(i) The GCF of 8944 and 8952 is associative

GCF of 8944 and 8952 = GCF of 8952 and 8944

Related Greatest Common Factor of 8944

Related Greatest Common Factor of 8952

Frequently Asked Questions on GCF of 8944 and 8952

1. What is the GCF of 8944 and 8952?

Answer: GCF of 8944 and 8952 is 8.

2. 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.

3. What are the Factors of 8952?

Answer: Factors of 8952 are 1, 2, 3, 4, 6, 8, 12, 24, 373, 746, 1119, 1492, 2238, 2984, 4476, 8952. There are 16 integers that are factors of 8952. The greatest factor of 8952 is 8952.

4. How to Find the GCF of 8944 and 8952?

Answer:

Greatest Common Factor of 8944 and 8952 = 8

Step 1: Find the prime factorization of 8944

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

Step 2: Find the prime factorization of 8952

8952 = 2 x 2 x 2 x 3 x 373

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 8944 and 8952 is 8