Greatest Common Factor of 9444 and 9448

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 9444, 9448 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9444 and 9448 is 4.

GCF(9444,9448) = 4

GCF of 9444 and 9448

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

GCF of:
and

Greatest Common Factor of 9444 and 9448

GCF of 9444 and 9448 is 4

Prime Factorization of 9444


2 9444
2 4722
3 2361
787 787
1

Prime factors of 9444 are 2,3,787. Prime factorization of 9444 in exponential form is:

9444 = 22×31×7871

Prime Factorization of 9448


2 9448
2 4724
2 2362
1181 1181
1

Prime factors of 9448 are 2,1181. Prime factorization of 9448 in exponential form is:

9448 = 23×11811

∴ So by taking common prime factors GCF of 9444 and 9448 is 4

Greatest Common Factor of 9444 and 9448 by matching factors method

Factors of 9444

List of positive integer factors of 9444 that divides 9444 without a remainder.

1,2,3,4,6,12,787,1574,2361,3148,4722,9444

Factors of 9448

List of positive integer factors of 9448 that divides 9448 without a remainder.

1,2,4,8,1181,2362,4724,9448

Greatest Common Factor

We found the factors and prime factorization of 9444 and 9448. The biggest common factor number is the GCF number.
So the greatest common factor 9444 and 9448 is 4.

Also check out the Least Common Multiple of 9444 and 9448

Properties of GCF 9444 and 9448

(i) The GCF of 9444 and 9448 is associative

GCF of 9444 and 9448 = GCF of 9448 and 9444

Related Greatest Common Factor of 9444

Related Greatest Common Factor of 9448

Frequently Asked Questions on GCF of 9444 and 9448

1. What is the GCF of 9444 and 9448?

Answer: GCF of 9444 and 9448 is 4.

2. What are the Factors of 9444?

Answer: Factors of 9444 are 1, 2, 3, 4, 6, 12, 787, 1574, 2361, 3148, 4722, 9444. There are 12 integers that are factors of 9444. The greatest factor of 9444 is 9444.

3. What are the Factors of 9448?

Answer: Factors of 9448 are 1, 2, 4, 8, 1181, 2362, 4724, 9448. There are 8 integers that are factors of 9448. The greatest factor of 9448 is 9448.

4. How to Find the GCF of 9444 and 9448?

Answer:

Greatest Common Factor of 9444 and 9448 = 4

Step 1: Find the prime factorization of 9444

9444 = 2 x 2 x 3 x 787

Step 2: Find the prime factorization of 9448

9448 = 2 x 2 x 2 x 1181

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 9444 and 9448 is 4