Greatest Common Factor of 3540 and 3548

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 3540, 3548 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3540 and 3548 is 4.

GCF(3540,3548) = 4

GCF of 3540 and 3548

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

GCF of:
and

Greatest Common Factor of 3540 and 3548

GCF of 3540 and 3548 is 4

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

Prime Factorization of 3548


2 3548
2 1774
887 887
1

Prime factors of 3548 are 2,887. Prime factorization of 3548 in exponential form is:

3548 = 22×8871

∴ So by taking common prime factors GCF of 3540 and 3548 is 4

Greatest Common Factor of 3540 and 3548 by matching factors method

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

Factors of 3548

List of positive integer factors of 3548 that divides 3548 without a remainder.

1,2,4,887,1774,3548

Greatest Common Factor

We found the factors and prime factorization of 3540 and 3548. The biggest common factor number is the GCF number.
So the greatest common factor 3540 and 3548 is 4.

Also check out the Least Common Multiple of 3540 and 3548

Properties of GCF 3540 and 3548

(i) The GCF of 3540 and 3548 is associative

GCF of 3540 and 3548 = GCF of 3548 and 3540

Related Greatest Common Factor of 3540

Related Greatest Common Factor of 3548

Frequently Asked Questions on GCF of 3540 and 3548

1. What is the GCF of 3540 and 3548?

Answer: GCF of 3540 and 3548 is 4.

2. 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.

3. What are the Factors of 3548?

Answer: Factors of 3548 are 1, 2, 4, 887, 1774, 3548. There are 6 integers that are factors of 3548. The greatest factor of 3548 is 3548.

4. How to Find the GCF of 3540 and 3548?

Answer:

Greatest Common Factor of 3540 and 3548 = 4

Step 1: Find the prime factorization of 3540

3540 = 2 x 2 x 3 x 5 x 59

Step 2: Find the prime factorization of 3548

3548 = 2 x 2 x 887

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 3540 and 3548 is 4