Greatest Common Factor of 3504 and 3509

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 3504, 3509 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3504 and 3509 is 1.

GCF(3504,3509) = 1

GCF of 3504 and 3509

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

GCF of:
and

Greatest Common Factor of 3504 and 3509

GCF of 3504 and 3509 is 1

Prime Factorization of 3504


2 3504
2 1752
2 876
2 438
3 219
73 73
1

Prime factors of 3504 are 2,3,73. Prime factorization of 3504 in exponential form is:

3504 = 24×31×731

Prime Factorization of 3509


11 3509
11 319
29 29
1

Prime factors of 3509 are 11,29. Prime factorization of 3509 in exponential form is:

3509 = 112×291

∴ So by taking common prime factors GCF of 3504 and 3509 is 1

Greatest Common Factor of 3504 and 3509 by matching factors method

Factors of 3504

List of positive integer factors of 3504 that divides 3504 without a remainder.

1,2,3,4,6,8,12,16,24,48,73,146,219,292,438,584,876,1168,1752,3504

Factors of 3509

List of positive integer factors of 3509 that divides 3509 without a remainder.

1,11,29,121,319,3509

Greatest Common Factor

We found the factors and prime factorization of 3504 and 3509. The biggest common factor number is the GCF number.
So the greatest common factor 3504 and 3509 is 1.

Also check out the Least Common Multiple of 3504 and 3509

Properties of GCF 3504 and 3509

(i) The GCF of 3504 and 3509 is associative

GCF of 3504 and 3509 = GCF of 3509 and 3504

Related Greatest Common Factor of 3504

Related Greatest Common Factor of 3509

Frequently Asked Questions on GCF of 3504 and 3509

1. What is the GCF of 3504 and 3509?

Answer: GCF of 3504 and 3509 is 1.

2. What are the Factors of 3504?

Answer: Factors of 3504 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 73, 146, 219, 292, 438, 584, 876, 1168, 1752, 3504. There are 20 integers that are factors of 3504. The greatest factor of 3504 is 3504.

3. What are the Factors of 3509?

Answer: Factors of 3509 are 1, 11, 29, 121, 319, 3509. There are 6 integers that are factors of 3509. The greatest factor of 3509 is 3509.

4. How to Find the GCF of 3504 and 3509?

Answer:

Greatest Common Factor of 3504 and 3509 = 1

Step 1: Find the prime factorization of 3504

3504 = 2 x 2 x 2 x 2 x 3 x 73

Step 2: Find the prime factorization of 3509

3509 = 11 x 11 x 29

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 3504 and 3509 is 1