Greatest Common Factor of 3141 and 3145

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 3141, 3145 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3141 and 3145 is 1.

GCF(3141,3145) = 1

GCF of 3141 and 3145

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

GCF of:
and

Greatest Common Factor of 3141 and 3145

GCF of 3141 and 3145 is 1

Prime Factorization of 3141


3 3141
3 1047
349 349
1

Prime factors of 3141 are 3,349. Prime factorization of 3141 in exponential form is:

3141 = 32×3491

Prime Factorization of 3145


5 3145
17 629
37 37
1

Prime factors of 3145 are 5,17,37. Prime factorization of 3145 in exponential form is:

3145 = 51×171×371

∴ So by taking common prime factors GCF of 3141 and 3145 is 1

Greatest Common Factor of 3141 and 3145 by matching factors method

Factors of 3141

List of positive integer factors of 3141 that divides 3141 without a remainder.

1,3,9,349,1047,3141

Factors of 3145

List of positive integer factors of 3145 that divides 3145 without a remainder.

1,5,17,37,85,185,629,3145

Greatest Common Factor

We found the factors and prime factorization of 3141 and 3145. The biggest common factor number is the GCF number.
So the greatest common factor 3141 and 3145 is 1.

Also check out the Least Common Multiple of 3141 and 3145

Properties of GCF 3141 and 3145

(i) The GCF of 3141 and 3145 is associative

GCF of 3141 and 3145 = GCF of 3145 and 3141

Related Greatest Common Factor of 3141

Related Greatest Common Factor of 3145

Frequently Asked Questions on GCF of 3141 and 3145

1. What is the GCF of 3141 and 3145?

Answer: GCF of 3141 and 3145 is 1.

2. What are the Factors of 3141?

Answer: Factors of 3141 are 1, 3, 9, 349, 1047, 3141. There are 6 integers that are factors of 3141. The greatest factor of 3141 is 3141.

3. What are the Factors of 3145?

Answer: Factors of 3145 are 1, 5, 17, 37, 85, 185, 629, 3145. There are 8 integers that are factors of 3145. The greatest factor of 3145 is 3145.

4. How to Find the GCF of 3141 and 3145?

Answer:

Greatest Common Factor of 3141 and 3145 = 1

Step 1: Find the prime factorization of 3141

3141 = 3 x 3 x 349

Step 2: Find the prime factorization of 3145

3145 = 5 x 17 x 37

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 3141 and 3145 is 1