Greatest Common Factor of 3185 and 3190

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 3185, 3190 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3185 and 3190 is 5.

GCF(3185,3190) = 5

GCF of 3185 and 3190

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

GCF of:
and

Greatest Common Factor of 3185 and 3190

GCF of 3185 and 3190 is 5

Prime Factorization of 3185


5 3185
7 637
7 91
13 13
1

Prime factors of 3185 are 5,7,13. Prime factorization of 3185 in exponential form is:

3185 = 51×72×131

Prime Factorization of 3190


2 3190
5 1595
11 319
29 29
1

Prime factors of 3190 are 2,5,11,29. Prime factorization of 3190 in exponential form is:

3190 = 21×51×111×291

∴ So by taking common prime factors GCF of 3185 and 3190 is 5

Greatest Common Factor of 3185 and 3190 by matching factors method

Factors of 3185

List of positive integer factors of 3185 that divides 3185 without a remainder.

1,5,7,13,35,49,65,91,245,455,637,3185

Factors of 3190

List of positive integer factors of 3190 that divides 3190 without a remainder.

1,2,5,10,11,22,29,55,58,110,145,290,319,638,1595,3190

Greatest Common Factor

We found the factors and prime factorization of 3185 and 3190. The biggest common factor number is the GCF number.
So the greatest common factor 3185 and 3190 is 5.

Also check out the Least Common Multiple of 3185 and 3190

Properties of GCF 3185 and 3190

(i) The GCF of 3185 and 3190 is associative

GCF of 3185 and 3190 = GCF of 3190 and 3185

Related Greatest Common Factor of 3185

Related Greatest Common Factor of 3190

Frequently Asked Questions on GCF of 3185 and 3190

1. What is the GCF of 3185 and 3190?

Answer: GCF of 3185 and 3190 is 5.

2. What are the Factors of 3185?

Answer: Factors of 3185 are 1, 5, 7, 13, 35, 49, 65, 91, 245, 455, 637, 3185. There are 12 integers that are factors of 3185. The greatest factor of 3185 is 3185.

3. What are the Factors of 3190?

Answer: Factors of 3190 are 1, 2, 5, 10, 11, 22, 29, 55, 58, 110, 145, 290, 319, 638, 1595, 3190. There are 16 integers that are factors of 3190. The greatest factor of 3190 is 3190.

4. How to Find the GCF of 3185 and 3190?

Answer:

Greatest Common Factor of 3185 and 3190 = 5

Step 1: Find the prime factorization of 3185

3185 = 5 x 7 x 7 x 13

Step 2: Find the prime factorization of 3190

3190 = 2 x 5 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 = 5

Step 4: Therefore, the greatest common factor of 3185 and 3190 is 5