Greatest Common Factor of 3498 and 3501

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 3498, 3501 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3498 and 3501 is 3.

GCF(3498,3501) = 3

GCF of 3498 and 3501

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

GCF of:
and

Greatest Common Factor of 3498 and 3501

GCF of 3498 and 3501 is 3

Prime Factorization of 3498


2 3498
3 1749
11 583
53 53
1

Prime factors of 3498 are 2,3,11,53. Prime factorization of 3498 in exponential form is:

3498 = 21×31×111×531

Prime Factorization of 3501


3 3501
3 1167
389 389
1

Prime factors of 3501 are 3,389. Prime factorization of 3501 in exponential form is:

3501 = 32×3891

∴ So by taking common prime factors GCF of 3498 and 3501 is 3

Greatest Common Factor of 3498 and 3501 by matching factors method

Factors of 3498

List of positive integer factors of 3498 that divides 3498 without a remainder.

1,2,3,6,11,22,33,53,66,106,159,318,583,1166,1749,3498

Factors of 3501

List of positive integer factors of 3501 that divides 3501 without a remainder.

1,3,9,389,1167,3501

Greatest Common Factor

We found the factors and prime factorization of 3498 and 3501. The biggest common factor number is the GCF number.
So the greatest common factor 3498 and 3501 is 3.

Also check out the Least Common Multiple of 3498 and 3501

Properties of GCF 3498 and 3501

(i) The GCF of 3498 and 3501 is associative

GCF of 3498 and 3501 = GCF of 3501 and 3498

Related Greatest Common Factor of 3498

Related Greatest Common Factor of 3501

Frequently Asked Questions on GCF of 3498 and 3501

1. What is the GCF of 3498 and 3501?

Answer: GCF of 3498 and 3501 is 3.

2. What are the Factors of 3498?

Answer: Factors of 3498 are 1, 2, 3, 6, 11, 22, 33, 53, 66, 106, 159, 318, 583, 1166, 1749, 3498. There are 16 integers that are factors of 3498. The greatest factor of 3498 is 3498.

3. What are the Factors of 3501?

Answer: Factors of 3501 are 1, 3, 9, 389, 1167, 3501. There are 6 integers that are factors of 3501. The greatest factor of 3501 is 3501.

4. How to Find the GCF of 3498 and 3501?

Answer:

Greatest Common Factor of 3498 and 3501 = 3

Step 1: Find the prime factorization of 3498

3498 = 2 x 3 x 11 x 53

Step 2: Find the prime factorization of 3501

3501 = 3 x 3 x 389

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

GCF = 3

Step 4: Therefore, the greatest common factor of 3498 and 3501 is 3