Greatest Common Factor of 3538 and 3540

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, 3540 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3538 and 3540 is 2.

GCF(3538,3540) = 2

GCF of 3538 and 3540

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

GCF of:
and

Greatest Common Factor of 3538 and 3540

GCF of 3538 and 3540 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 3540


2 3540
2 1770
3 885
5 295
59 59
1

Prime factors of 3540 are 2,3,5,59. Prime factorization of 3540 in exponential form is:

3540 = 22×31×51×591

∴ So by taking common prime factors GCF of 3538 and 3540 is 2

Greatest Common Factor of 3538 and 3540 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 3540

List of positive integer factors of 3540 that divides 3540 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,59,60,118,177,236,295,354,590,708,885,1180,1770,3540

Greatest Common Factor

We found the factors and prime factorization of 3538 and 3540. The biggest common factor number is the GCF number.
So the greatest common factor 3538 and 3540 is 2.

Also check out the Least Common Multiple of 3538 and 3540

Properties of GCF 3538 and 3540

(i) The GCF of 3538 and 3540 is associative

GCF of 3538 and 3540 = GCF of 3540 and 3538

Related Greatest Common Factor of 3538

Related Greatest Common Factor of 3540

Frequently Asked Questions on GCF of 3538 and 3540

1. What is the GCF of 3538 and 3540?

Answer: GCF of 3538 and 3540 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 3540?

Answer: Factors of 3540 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 59, 60, 118, 177, 236, 295, 354, 590, 708, 885, 1180, 1770, 3540. There are 24 integers that are factors of 3540. The greatest factor of 3540 is 3540.

4. How to Find the GCF of 3538 and 3540?

Answer:

Greatest Common Factor of 3538 and 3540 = 2

Step 1: Find the prime factorization of 3538

3538 = 2 x 29 x 61

Step 2: Find the prime factorization of 3540

3540 = 2 x 2 x 3 x 5 x 59

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 3540 is 2