Greatest Common Factor of 9541 and 9548

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 9541, 9548 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9541 and 9548 is 7.

GCF(9541,9548) = 7

GCF of 9541 and 9548

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

GCF of:
and

Greatest Common Factor of 9541 and 9548

GCF of 9541 and 9548 is 7

Prime Factorization of 9541


7 9541
29 1363
47 47
1

Prime factors of 9541 are 7,29,47. Prime factorization of 9541 in exponential form is:

9541 = 71×291×471

Prime Factorization of 9548


2 9548
2 4774
7 2387
11 341
31 31
1

Prime factors of 9548 are 2,7,11,31. Prime factorization of 9548 in exponential form is:

9548 = 22×71×111×311

∴ So by taking common prime factors GCF of 9541 and 9548 is 7

Greatest Common Factor of 9541 and 9548 by matching factors method

Factors of 9541

List of positive integer factors of 9541 that divides 9541 without a remainder.

1,7,29,47,203,329,1363,9541

Factors of 9548

List of positive integer factors of 9548 that divides 9548 without a remainder.

1,2,4,7,11,14,22,28,31,44,62,77,124,154,217,308,341,434,682,868,1364,2387,4774,9548

Greatest Common Factor

We found the factors and prime factorization of 9541 and 9548. The biggest common factor number is the GCF number.
So the greatest common factor 9541 and 9548 is 7.

Also check out the Least Common Multiple of 9541 and 9548

Properties of GCF 9541 and 9548

(i) The GCF of 9541 and 9548 is associative

GCF of 9541 and 9548 = GCF of 9548 and 9541

Related Greatest Common Factor of 9541

Related Greatest Common Factor of 9548

Frequently Asked Questions on GCF of 9541 and 9548

1. What is the GCF of 9541 and 9548?

Answer: GCF of 9541 and 9548 is 7.

2. What are the Factors of 9541?

Answer: Factors of 9541 are 1, 7, 29, 47, 203, 329, 1363, 9541. There are 8 integers that are factors of 9541. The greatest factor of 9541 is 9541.

3. What are the Factors of 9548?

Answer: Factors of 9548 are 1, 2, 4, 7, 11, 14, 22, 28, 31, 44, 62, 77, 124, 154, 217, 308, 341, 434, 682, 868, 1364, 2387, 4774, 9548. There are 24 integers that are factors of 9548. The greatest factor of 9548 is 9548.

4. How to Find the GCF of 9541 and 9548?

Answer:

Greatest Common Factor of 9541 and 9548 = 7

Step 1: Find the prime factorization of 9541

9541 = 7 x 29 x 47

Step 2: Find the prime factorization of 9548

9548 = 2 x 2 x 7 x 11 x 31

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

GCF = 7

Step 4: Therefore, the greatest common factor of 9541 and 9548 is 7