Greatest Common Factor of 3538 and 3543

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 3538, 3543 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3538 and 3543 is 1.

GCF(3538,3543) = 1

GCF of 3538 and 3543

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

GCF of:
and

Greatest Common Factor of 3538 and 3543

GCF of 3538 and 3543 is 1

Prime Factorization of 3538


2 3538
29 1769
61 61
1

Prime factors of 3538 are 2,29,61. Prime factorization of 3538 in exponential form is:

3538 = 21×291×611

Prime Factorization of 3543


3 3543
1181 1181
1

Prime factors of 3543 are 3,1181. Prime factorization of 3543 in exponential form is:

3543 = 31×11811

∴ So by taking common prime factors GCF of 3538 and 3543 is 1

Greatest Common Factor of 3538 and 3543 by matching factors method

Factors of 3538

List of positive integer factors of 3538 that divides 3538 without a remainder.

1,2,29,58,61,122,1769,3538

Factors of 3543

List of positive integer factors of 3543 that divides 3543 without a remainder.

1,3,1181,3543

Greatest Common Factor

We found the factors and prime factorization of 3538 and 3543. The biggest common factor number is the GCF number.
So the greatest common factor 3538 and 3543 is 1.

Also check out the Least Common Multiple of 3538 and 3543

Properties of GCF 3538 and 3543

(i) The GCF of 3538 and 3543 is associative

GCF of 3538 and 3543 = GCF of 3543 and 3538

Related Greatest Common Factor of 3538

Related Greatest Common Factor of 3543

Frequently Asked Questions on GCF of 3538 and 3543

1. What is the GCF of 3538 and 3543?

Answer: GCF of 3538 and 3543 is 1.

2. What are the Factors of 3538?

Answer: Factors of 3538 are 1, 2, 29, 58, 61, 122, 1769, 3538. There are 8 integers that are factors of 3538. The greatest factor of 3538 is 3538.

3. What are the Factors of 3543?

Answer: Factors of 3543 are 1, 3, 1181, 3543. There are 4 integers that are factors of 3543. The greatest factor of 3543 is 3543.

4. How to Find the GCF of 3538 and 3543?

Answer:

Greatest Common Factor of 3538 and 3543 = 1

Step 1: Find the prime factorization of 3538

3538 = 2 x 29 x 61

Step 2: Find the prime factorization of 3543

3543 = 3 x 1181

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 3538 and 3543 is 1