Greatest Common Factor of 3500 and 3504

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 3500, 3504 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3500 and 3504 is 4.

GCF(3500,3504) = 4

GCF of 3500 and 3504

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

GCF of:
and

Greatest Common Factor of 3500 and 3504

GCF of 3500 and 3504 is 4

Prime Factorization of 3500


2 3500
2 1750
5 875
5 175
5 35
7 7
1

Prime factors of 3500 are 2,5,7. Prime factorization of 3500 in exponential form is:

3500 = 22×53×71

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

∴ So by taking common prime factors GCF of 3500 and 3504 is 4

Greatest Common Factor of 3500 and 3504 by matching factors method

Factors of 3500

List of positive integer factors of 3500 that divides 3500 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,125,140,175,250,350,500,700,875,1750,3500

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

Greatest Common Factor

We found the factors and prime factorization of 3500 and 3504. The biggest common factor number is the GCF number.
So the greatest common factor 3500 and 3504 is 4.

Also check out the Least Common Multiple of 3500 and 3504

Properties of GCF 3500 and 3504

(i) The GCF of 3500 and 3504 is associative

GCF of 3500 and 3504 = GCF of 3504 and 3500

Related Greatest Common Factor of 3500

Related Greatest Common Factor of 3504

Frequently Asked Questions on GCF of 3500 and 3504

1. What is the GCF of 3500 and 3504?

Answer: GCF of 3500 and 3504 is 4.

2. What are the Factors of 3500?

Answer: Factors of 3500 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 125, 140, 175, 250, 350, 500, 700, 875, 1750, 3500. There are 24 integers that are factors of 3500. The greatest factor of 3500 is 3500.

3. 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.

4. How to Find the GCF of 3500 and 3504?

Answer:

Greatest Common Factor of 3500 and 3504 = 4

Step 1: Find the prime factorization of 3500

3500 = 2 x 2 x 5 x 5 x 5 x 7

Step 2: Find the prime factorization of 3504

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

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 3500 and 3504 is 4