Greatest Common Factor of 3496 and 3500

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 3496, 3500 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3496 and 3500 is 4.

GCF(3496,3500) = 4

GCF of 3496 and 3500

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

GCF of:
and

Greatest Common Factor of 3496 and 3500

GCF of 3496 and 3500 is 4

Prime Factorization of 3496


2 3496
2 1748
2 874
19 437
23 23
1

Prime factors of 3496 are 2,19,23. Prime factorization of 3496 in exponential form is:

3496 = 23×191×231

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

∴ So by taking common prime factors GCF of 3496 and 3500 is 4

Greatest Common Factor of 3496 and 3500 by matching factors method

Factors of 3496

List of positive integer factors of 3496 that divides 3496 without a remainder.

1,2,4,8,19,23,38,46,76,92,152,184,437,874,1748,3496

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

Greatest Common Factor

We found the factors and prime factorization of 3496 and 3500. The biggest common factor number is the GCF number.
So the greatest common factor 3496 and 3500 is 4.

Also check out the Least Common Multiple of 3496 and 3500

Properties of GCF 3496 and 3500

(i) The GCF of 3496 and 3500 is associative

GCF of 3496 and 3500 = GCF of 3500 and 3496

Related Greatest Common Factor of 3496

Related Greatest Common Factor of 3500

Frequently Asked Questions on GCF of 3496 and 3500

1. What is the GCF of 3496 and 3500?

Answer: GCF of 3496 and 3500 is 4.

2. What are the Factors of 3496?

Answer: Factors of 3496 are 1, 2, 4, 8, 19, 23, 38, 46, 76, 92, 152, 184, 437, 874, 1748, 3496. There are 16 integers that are factors of 3496. The greatest factor of 3496 is 3496.

3. 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.

4. How to Find the GCF of 3496 and 3500?

Answer:

Greatest Common Factor of 3496 and 3500 = 4

Step 1: Find the prime factorization of 3496

3496 = 2 x 2 x 2 x 19 x 23

Step 2: Find the prime factorization of 3500

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

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 3496 and 3500 is 4