Greatest Common Factor of 3538 and 3542

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, 3542 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3538 and 3542 is 2.

GCF(3538,3542) = 2

GCF of 3538 and 3542

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

GCF of:
and

Greatest Common Factor of 3538 and 3542

GCF of 3538 and 3542 is 2

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 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

∴ So by taking common prime factors GCF of 3538 and 3542 is 2

Greatest Common Factor of 3538 and 3542 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 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

Greatest Common Factor

We found the factors and prime factorization of 3538 and 3542. The biggest common factor number is the GCF number.
So the greatest common factor 3538 and 3542 is 2.

Also check out the Least Common Multiple of 3538 and 3542

Properties of GCF 3538 and 3542

(i) The GCF of 3538 and 3542 is associative

GCF of 3538 and 3542 = GCF of 3542 and 3538

Related Greatest Common Factor of 3538

Related Greatest Common Factor of 3542

Frequently Asked Questions on GCF of 3538 and 3542

1. What is the GCF of 3538 and 3542?

Answer: GCF of 3538 and 3542 is 2.

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 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.

4. How to Find the GCF of 3538 and 3542?

Answer:

Greatest Common Factor of 3538 and 3542 = 2

Step 1: Find the prime factorization of 3538

3538 = 2 x 29 x 61

Step 2: Find the prime factorization of 3542

3542 = 2 x 7 x 11 x 23

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 3538 and 3542 is 2