Greatest Common Factor of 3515 and 3520

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 3515, 3520 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3515 and 3520 is 5.

GCF(3515,3520) = 5

GCF of 3515 and 3520

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

GCF of:
and

Greatest Common Factor of 3515 and 3520

GCF of 3515 and 3520 is 5

Prime Factorization of 3515


5 3515
19 703
37 37
1

Prime factors of 3515 are 5,19,37. Prime factorization of 3515 in exponential form is:

3515 = 51×191×371

Prime Factorization of 3520


2 3520
2 1760
2 880
2 440
2 220
2 110
5 55
11 11
1

Prime factors of 3520 are 2,5,11. Prime factorization of 3520 in exponential form is:

3520 = 26×51×111

∴ So by taking common prime factors GCF of 3515 and 3520 is 5

Greatest Common Factor of 3515 and 3520 by matching factors method

Factors of 3515

List of positive integer factors of 3515 that divides 3515 without a remainder.

1,5,19,37,95,185,703,3515

Factors of 3520

List of positive integer factors of 3520 that divides 3520 without a remainder.

1,2,4,5,8,10,11,16,20,22,32,40,44,55,64,80,88,110,160,176,220,320,352,440,704,880,1760,3520

Greatest Common Factor

We found the factors and prime factorization of 3515 and 3520. The biggest common factor number is the GCF number.
So the greatest common factor 3515 and 3520 is 5.

Also check out the Least Common Multiple of 3515 and 3520

Properties of GCF 3515 and 3520

(i) The GCF of 3515 and 3520 is associative

GCF of 3515 and 3520 = GCF of 3520 and 3515

Related Greatest Common Factor of 3515

Related Greatest Common Factor of 3520

Frequently Asked Questions on GCF of 3515 and 3520

1. What is the GCF of 3515 and 3520?

Answer: GCF of 3515 and 3520 is 5.

2. What are the Factors of 3515?

Answer: Factors of 3515 are 1, 5, 19, 37, 95, 185, 703, 3515. There are 8 integers that are factors of 3515. The greatest factor of 3515 is 3515.

3. What are the Factors of 3520?

Answer: Factors of 3520 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 64, 80, 88, 110, 160, 176, 220, 320, 352, 440, 704, 880, 1760, 3520. There are 28 integers that are factors of 3520. The greatest factor of 3520 is 3520.

4. How to Find the GCF of 3515 and 3520?

Answer:

Greatest Common Factor of 3515 and 3520 = 5

Step 1: Find the prime factorization of 3515

3515 = 5 x 19 x 37

Step 2: Find the prime factorization of 3520

3520 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 11

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

GCF = 5

Step 4: Therefore, the greatest common factor of 3515 and 3520 is 5