Greatest Common Factor of 3542 and 3547

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 3542, 3547 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3542 and 3547 is 1.

GCF(3542,3547) = 1

GCF of 3542 and 3547

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

GCF of:
and

Greatest Common Factor of 3542 and 3547

GCF of 3542 and 3547 is 1

Prime Factorization of 3542


2 3542
7 1771
11 253
23 23
1

Prime factors of 3542 are 2,7,11,23. Prime factorization of 3542 in exponential form is:

3542 = 21×71×111×231

Prime Factorization of 3547


3547 3547
1

Prime factors of 3547 are 3547. Prime factorization of 3547 in exponential form is:

3547 = 35471

∴ So by taking common prime factors GCF of 3542 and 3547 is 1

Greatest Common Factor of 3542 and 3547 by matching factors method

Factors of 3542

List of positive integer factors of 3542 that divides 3542 without a remainder.

1,2,7,11,14,22,23,46,77,154,161,253,322,506,1771,3542

Factors of 3547

List of positive integer factors of 3547 that divides 3547 without a remainder.

1,3547

Greatest Common Factor

We found the factors and prime factorization of 3542 and 3547. The biggest common factor number is the GCF number.
So the greatest common factor 3542 and 3547 is 1.

Also check out the Least Common Multiple of 3542 and 3547

Properties of GCF 3542 and 3547

(i) The GCF of 3542 and 3547 is associative

GCF of 3542 and 3547 = GCF of 3547 and 3542

Related Greatest Common Factor of 3542

Related Greatest Common Factor of 3547

Frequently Asked Questions on GCF of 3542 and 3547

1. What is the GCF of 3542 and 3547?

Answer: GCF of 3542 and 3547 is 1.

2. What are the Factors of 3542?

Answer: Factors of 3542 are 1, 2, 7, 11, 14, 22, 23, 46, 77, 154, 161, 253, 322, 506, 1771, 3542. There are 16 integers that are factors of 3542. The greatest factor of 3542 is 3542.

3. What are the Factors of 3547?

Answer: Factors of 3547 are 1, 3547. There are 2 integers that are factors of 3547. The greatest factor of 3547 is 3547.

4. How to Find the GCF of 3542 and 3547?

Answer:

Greatest Common Factor of 3542 and 3547 = 1

Step 1: Find the prime factorization of 3542

3542 = 2 x 7 x 11 x 23

Step 2: Find the prime factorization of 3547

3547 = 3547

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 3542 and 3547 is 1