Greatest Common Factor of 9538 and 9546

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 9538, 9546 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9538 and 9546 is 2.

GCF(9538,9546) = 2

GCF of 9538 and 9546

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

GCF of:
and

Greatest Common Factor of 9538 and 9546

GCF of 9538 and 9546 is 2

Prime Factorization of 9538


2 9538
19 4769
251 251
1

Prime factors of 9538 are 2,19,251. Prime factorization of 9538 in exponential form is:

9538 = 21×191×2511

Prime Factorization of 9546


2 9546
3 4773
37 1591
43 43
1

Prime factors of 9546 are 2,3,37,43. Prime factorization of 9546 in exponential form is:

9546 = 21×31×371×431

∴ So by taking common prime factors GCF of 9538 and 9546 is 2

Greatest Common Factor of 9538 and 9546 by matching factors method

Factors of 9538

List of positive integer factors of 9538 that divides 9538 without a remainder.

1,2,19,38,251,502,4769,9538

Factors of 9546

List of positive integer factors of 9546 that divides 9546 without a remainder.

1,2,3,6,37,43,74,86,111,129,222,258,1591,3182,4773,9546

Greatest Common Factor

We found the factors and prime factorization of 9538 and 9546. The biggest common factor number is the GCF number.
So the greatest common factor 9538 and 9546 is 2.

Also check out the Least Common Multiple of 9538 and 9546

Properties of GCF 9538 and 9546

(i) The GCF of 9538 and 9546 is associative

GCF of 9538 and 9546 = GCF of 9546 and 9538

Related Greatest Common Factor of 9538

Related Greatest Common Factor of 9546

Frequently Asked Questions on GCF of 9538 and 9546

1. What is the GCF of 9538 and 9546?

Answer: GCF of 9538 and 9546 is 2.

2. What are the Factors of 9538?

Answer: Factors of 9538 are 1, 2, 19, 38, 251, 502, 4769, 9538. There are 8 integers that are factors of 9538. The greatest factor of 9538 is 9538.

3. What are the Factors of 9546?

Answer: Factors of 9546 are 1, 2, 3, 6, 37, 43, 74, 86, 111, 129, 222, 258, 1591, 3182, 4773, 9546. There are 16 integers that are factors of 9546. The greatest factor of 9546 is 9546.

4. How to Find the GCF of 9538 and 9546?

Answer:

Greatest Common Factor of 9538 and 9546 = 2

Step 1: Find the prime factorization of 9538

9538 = 2 x 19 x 251

Step 2: Find the prime factorization of 9546

9546 = 2 x 3 x 37 x 43

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

GCF = 2

Step 4: Therefore, the greatest common factor of 9538 and 9546 is 2