Greatest Common Factor of 3534 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 3534, 3542 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3534 and 3542 is 2.

GCF(3534,3542) = 2

GCF of 3534 and 3542

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

GCF of:
and

Greatest Common Factor of 3534 and 3542

GCF of 3534 and 3542 is 2

Prime Factorization of 3534


2 3534
3 1767
19 589
31 31
1

Prime factors of 3534 are 2,3,19,31. Prime factorization of 3534 in exponential form is:

3534 = 21×31×191×311

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 3534 and 3542 is 2

Greatest Common Factor of 3534 and 3542 by matching factors method

Factors of 3534

List of positive integer factors of 3534 that divides 3534 without a remainder.

1,2,3,6,19,31,38,57,62,93,114,186,589,1178,1767,3534

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 3534 and 3542. The biggest common factor number is the GCF number.
So the greatest common factor 3534 and 3542 is 2.

Also check out the Least Common Multiple of 3534 and 3542

Properties of GCF 3534 and 3542

(i) The GCF of 3534 and 3542 is associative

GCF of 3534 and 3542 = GCF of 3542 and 3534

Related Greatest Common Factor of 3534

Related Greatest Common Factor of 3542

Frequently Asked Questions on GCF of 3534 and 3542

1. What is the GCF of 3534 and 3542?

Answer: GCF of 3534 and 3542 is 2.

2. What are the Factors of 3534?

Answer: Factors of 3534 are 1, 2, 3, 6, 19, 31, 38, 57, 62, 93, 114, 186, 589, 1178, 1767, 3534. There are 16 integers that are factors of 3534. The greatest factor of 3534 is 3534.

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 3534 and 3542?

Answer:

Greatest Common Factor of 3534 and 3542 = 2

Step 1: Find the prime factorization of 3534

3534 = 2 x 3 x 19 x 31

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 3534 and 3542 is 2