Greatest Common Factor of 9952 and 9956

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 9952, 9956 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9952 and 9956 is 4.

GCF(9952,9956) = 4

GCF of 9952 and 9956

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

GCF of:
and

Greatest Common Factor of 9952 and 9956

GCF of 9952 and 9956 is 4

Prime Factorization of 9952


2 9952
2 4976
2 2488
2 1244
2 622
311 311
1

Prime factors of 9952 are 2,311. Prime factorization of 9952 in exponential form is:

9952 = 25×3111

Prime Factorization of 9956


2 9956
2 4978
19 2489
131 131
1

Prime factors of 9956 are 2,19,131. Prime factorization of 9956 in exponential form is:

9956 = 22×191×1311

∴ So by taking common prime factors GCF of 9952 and 9956 is 4

Greatest Common Factor of 9952 and 9956 by matching factors method

Factors of 9952

List of positive integer factors of 9952 that divides 9952 without a remainder.

1,2,4,8,16,32,311,622,1244,2488,4976,9952

Factors of 9956

List of positive integer factors of 9956 that divides 9956 without a remainder.

1,2,4,19,38,76,131,262,524,2489,4978,9956

Greatest Common Factor

We found the factors and prime factorization of 9952 and 9956. The biggest common factor number is the GCF number.
So the greatest common factor 9952 and 9956 is 4.

Also check out the Least Common Multiple of 9952 and 9956

Properties of GCF 9952 and 9956

(i) The GCF of 9952 and 9956 is associative

GCF of 9952 and 9956 = GCF of 9956 and 9952

Related Greatest Common Factor of 9952

Related Greatest Common Factor of 9956

Frequently Asked Questions on GCF of 9952 and 9956

1. What is the GCF of 9952 and 9956?

Answer: GCF of 9952 and 9956 is 4.

2. What are the Factors of 9952?

Answer: Factors of 9952 are 1, 2, 4, 8, 16, 32, 311, 622, 1244, 2488, 4976, 9952. There are 12 integers that are factors of 9952. The greatest factor of 9952 is 9952.

3. What are the Factors of 9956?

Answer: Factors of 9956 are 1, 2, 4, 19, 38, 76, 131, 262, 524, 2489, 4978, 9956. There are 12 integers that are factors of 9956. The greatest factor of 9956 is 9956.

4. How to Find the GCF of 9952 and 9956?

Answer:

Greatest Common Factor of 9952 and 9956 = 4

Step 1: Find the prime factorization of 9952

9952 = 2 x 2 x 2 x 2 x 2 x 311

Step 2: Find the prime factorization of 9956

9956 = 2 x 2 x 19 x 131

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 9952 and 9956 is 4