Greatest Common Factor of 3535 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 3535, 3540 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3535 and 3540 is 5.

GCF(3535,3540) = 5

GCF of 3535 and 3540

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

GCF of:
and

Greatest Common Factor of 3535 and 3540

GCF of 3535 and 3540 is 5

Prime Factorization of 3535


5 3535
7 707
101 101
1

Prime factors of 3535 are 5,7,101. Prime factorization of 3535 in exponential form is:

3535 = 51×71×1011

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 3535 and 3540 is 5

Greatest Common Factor of 3535 and 3540 by matching factors method

Factors of 3535

List of positive integer factors of 3535 that divides 3535 without a remainder.

1,5,7,35,101,505,707,3535

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 3535 and 3540. The biggest common factor number is the GCF number.
So the greatest common factor 3535 and 3540 is 5.

Also check out the Least Common Multiple of 3535 and 3540

Properties of GCF 3535 and 3540

(i) The GCF of 3535 and 3540 is associative

GCF of 3535 and 3540 = GCF of 3540 and 3535

Related Greatest Common Factor of 3535

Related Greatest Common Factor of 3540

Frequently Asked Questions on GCF of 3535 and 3540

1. What is the GCF of 3535 and 3540?

Answer: GCF of 3535 and 3540 is 5.

2. What are the Factors of 3535?

Answer: Factors of 3535 are 1, 5, 7, 35, 101, 505, 707, 3535. There are 8 integers that are factors of 3535. The greatest factor of 3535 is 3535.

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 3535 and 3540?

Answer:

Greatest Common Factor of 3535 and 3540 = 5

Step 1: Find the prime factorization of 3535

3535 = 5 x 7 x 101

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 = 5

Step 4: Therefore, the greatest common factor of 3535 and 3540 is 5