Greatest Common Factor of 3524 and 3529

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 3524, 3529 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3524 and 3529 is 1.

GCF(3524,3529) = 1

GCF of 3524 and 3529

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

GCF of:
and

Greatest Common Factor of 3524 and 3529

GCF of 3524 and 3529 is 1

Prime Factorization of 3524


2 3524
2 1762
881 881
1

Prime factors of 3524 are 2,881. Prime factorization of 3524 in exponential form is:

3524 = 22×8811

Prime Factorization of 3529


3529 3529
1

Prime factors of 3529 are 3529. Prime factorization of 3529 in exponential form is:

3529 = 35291

∴ So by taking common prime factors GCF of 3524 and 3529 is 1

Greatest Common Factor of 3524 and 3529 by matching factors method

Factors of 3524

List of positive integer factors of 3524 that divides 3524 without a remainder.

1,2,4,881,1762,3524

Factors of 3529

List of positive integer factors of 3529 that divides 3529 without a remainder.

1,3529

Greatest Common Factor

We found the factors and prime factorization of 3524 and 3529. The biggest common factor number is the GCF number.
So the greatest common factor 3524 and 3529 is 1.

Also check out the Least Common Multiple of 3524 and 3529

Properties of GCF 3524 and 3529

(i) The GCF of 3524 and 3529 is associative

GCF of 3524 and 3529 = GCF of 3529 and 3524

Related Greatest Common Factor of 3524

Related Greatest Common Factor of 3529

Frequently Asked Questions on GCF of 3524 and 3529

1. What is the GCF of 3524 and 3529?

Answer: GCF of 3524 and 3529 is 1.

2. What are the Factors of 3524?

Answer: Factors of 3524 are 1, 2, 4, 881, 1762, 3524. There are 6 integers that are factors of 3524. The greatest factor of 3524 is 3524.

3. What are the Factors of 3529?

Answer: Factors of 3529 are 1, 3529. There are 2 integers that are factors of 3529. The greatest factor of 3529 is 3529.

4. How to Find the GCF of 3524 and 3529?

Answer:

Greatest Common Factor of 3524 and 3529 = 1

Step 1: Find the prime factorization of 3524

3524 = 2 x 2 x 881

Step 2: Find the prime factorization of 3529

3529 = 3529

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 3524 and 3529 is 1