Greatest Common Factor of 3137 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 3137, 3145 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3137 and 3145 is 1.

GCF(3137,3145) = 1

GCF of 3137 and 3145

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

GCF of:
and

Greatest Common Factor of 3137 and 3145

GCF of 3137 and 3145 is 1

Prime Factorization of 3137


3137 3137
1

Prime factors of 3137 are 3137. Prime factorization of 3137 in exponential form is:

3137 = 31371

Prime Factorization of 3145


5 3145
17 629
37 37
1

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

3145 = 51×171×371

∴ So by taking common prime factors GCF of 3137 and 3145 is 1

Greatest Common Factor of 3137 and 3145 by matching factors method

Factors of 3137

List of positive integer factors of 3137 that divides 3137 without a remainder.

1,3137

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 3137 and 3145. The biggest common factor number is the GCF number.
So the greatest common factor 3137 and 3145 is 1.

Also check out the Least Common Multiple of 3137 and 3145

Properties of GCF 3137 and 3145

(i) The GCF of 3137 and 3145 is associative

GCF of 3137 and 3145 = GCF of 3145 and 3137

Frequently Asked Questions on GCF of 3137 and 3145

1. What is the GCF of 3137 and 3145?

Answer: GCF of 3137 and 3145 is 1.

2. What are the Factors of 3137?

Answer: Factors of 3137 are 1, 3137. There are 2 integers that are factors of 3137. The greatest factor of 3137 is 3137.

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 3137 and 3145?

Answer:

Greatest Common Factor of 3137 and 3145 = 1

Step 1: Find the prime factorization of 3137

3137 = 3137

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 3137 and 3145 is 1