Greatest Common Factor of 3514 and 3521

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 3514, 3521 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3514 and 3521 is 7.

GCF(3514,3521) = 7

GCF of 3514 and 3521

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

GCF of:
and

Greatest Common Factor of 3514 and 3521

GCF of 3514 and 3521 is 7

Prime Factorization of 3514


2 3514
7 1757
251 251
1

Prime factors of 3514 are 2,7,251. Prime factorization of 3514 in exponential form is:

3514 = 21×71×2511

Prime Factorization of 3521


7 3521
503 503
1

Prime factors of 3521 are 7,503. Prime factorization of 3521 in exponential form is:

3521 = 71×5031

∴ So by taking common prime factors GCF of 3514 and 3521 is 7

Greatest Common Factor of 3514 and 3521 by matching factors method

Factors of 3514

List of positive integer factors of 3514 that divides 3514 without a remainder.

1,2,7,14,251,502,1757,3514

Factors of 3521

List of positive integer factors of 3521 that divides 3521 without a remainder.

1,7,503,3521

Greatest Common Factor

We found the factors and prime factorization of 3514 and 3521. The biggest common factor number is the GCF number.
So the greatest common factor 3514 and 3521 is 7.

Also check out the Least Common Multiple of 3514 and 3521

Properties of GCF 3514 and 3521

(i) The GCF of 3514 and 3521 is associative

GCF of 3514 and 3521 = GCF of 3521 and 3514

Related Greatest Common Factor of 3514

Related Greatest Common Factor of 3521

Frequently Asked Questions on GCF of 3514 and 3521

1. What is the GCF of 3514 and 3521?

Answer: GCF of 3514 and 3521 is 7.

2. What are the Factors of 3514?

Answer: Factors of 3514 are 1, 2, 7, 14, 251, 502, 1757, 3514. There are 8 integers that are factors of 3514. The greatest factor of 3514 is 3514.

3. What are the Factors of 3521?

Answer: Factors of 3521 are 1, 7, 503, 3521. There are 4 integers that are factors of 3521. The greatest factor of 3521 is 3521.

4. How to Find the GCF of 3514 and 3521?

Answer:

Greatest Common Factor of 3514 and 3521 = 7

Step 1: Find the prime factorization of 3514

3514 = 2 x 7 x 251

Step 2: Find the prime factorization of 3521

3521 = 7 x 503

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

GCF = 7

Step 4: Therefore, the greatest common factor of 3514 and 3521 is 7