Greatest Common Factor of 3542 and 3546

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, 3546 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3542 and 3546 is 2.

GCF(3542,3546) = 2

GCF of 3542 and 3546

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

GCF of:
and

Greatest Common Factor of 3542 and 3546

GCF of 3542 and 3546 is 2

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 3546


2 3546
3 1773
3 591
197 197
1

Prime factors of 3546 are 2,3,197. Prime factorization of 3546 in exponential form is:

3546 = 21×32×1971

∴ So by taking common prime factors GCF of 3542 and 3546 is 2

Greatest Common Factor of 3542 and 3546 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 3546

List of positive integer factors of 3546 that divides 3546 without a remainder.

1,2,3,6,9,18,197,394,591,1182,1773,3546

Greatest Common Factor

We found the factors and prime factorization of 3542 and 3546. The biggest common factor number is the GCF number.
So the greatest common factor 3542 and 3546 is 2.

Also check out the Least Common Multiple of 3542 and 3546

Properties of GCF 3542 and 3546

(i) The GCF of 3542 and 3546 is associative

GCF of 3542 and 3546 = GCF of 3546 and 3542

Related Greatest Common Factor of 3542

Related Greatest Common Factor of 3546

Frequently Asked Questions on GCF of 3542 and 3546

1. What is the GCF of 3542 and 3546?

Answer: GCF of 3542 and 3546 is 2.

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 3546?

Answer: Factors of 3546 are 1, 2, 3, 6, 9, 18, 197, 394, 591, 1182, 1773, 3546. There are 12 integers that are factors of 3546. The greatest factor of 3546 is 3546.

4. How to Find the GCF of 3542 and 3546?

Answer:

Greatest Common Factor of 3542 and 3546 = 2

Step 1: Find the prime factorization of 3542

3542 = 2 x 7 x 11 x 23

Step 2: Find the prime factorization of 3546

3546 = 2 x 3 x 3 x 197

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 3542 and 3546 is 2