Greatest Common Factor of 6945 and 6953

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 6945, 6953 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6945 and 6953 is 1.

GCF(6945,6953) = 1

GCF of 6945 and 6953

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

GCF of:
and

Greatest Common Factor of 6945 and 6953

GCF of 6945 and 6953 is 1

Prime Factorization of 6945


3 6945
5 2315
463 463
1

Prime factors of 6945 are 3,5,463. Prime factorization of 6945 in exponential form is:

6945 = 31×51×4631

Prime Factorization of 6953


17 6953
409 409
1

Prime factors of 6953 are 17,409. Prime factorization of 6953 in exponential form is:

6953 = 171×4091

∴ So by taking common prime factors GCF of 6945 and 6953 is 1

Greatest Common Factor of 6945 and 6953 by matching factors method

Factors of 6945

List of positive integer factors of 6945 that divides 6945 without a remainder.

1,3,5,15,463,1389,2315,6945

Factors of 6953

List of positive integer factors of 6953 that divides 6953 without a remainder.

1,17,409,6953

Greatest Common Factor

We found the factors and prime factorization of 6945 and 6953. The biggest common factor number is the GCF number.
So the greatest common factor 6945 and 6953 is 1.

Also check out the Least Common Multiple of 6945 and 6953

Properties of GCF 6945 and 6953

(i) The GCF of 6945 and 6953 is associative

GCF of 6945 and 6953 = GCF of 6953 and 6945

Related Greatest Common Factor of 6945

Related Greatest Common Factor of 6953

Frequently Asked Questions on GCF of 6945 and 6953

1. What is the GCF of 6945 and 6953?

Answer: GCF of 6945 and 6953 is 1.

2. What are the Factors of 6945?

Answer: Factors of 6945 are 1, 3, 5, 15, 463, 1389, 2315, 6945. There are 8 integers that are factors of 6945. The greatest factor of 6945 is 6945.

3. What are the Factors of 6953?

Answer: Factors of 6953 are 1, 17, 409, 6953. There are 4 integers that are factors of 6953. The greatest factor of 6953 is 6953.

4. How to Find the GCF of 6945 and 6953?

Answer:

Greatest Common Factor of 6945 and 6953 = 1

Step 1: Find the prime factorization of 6945

6945 = 3 x 5 x 463

Step 2: Find the prime factorization of 6953

6953 = 17 x 409

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 6945 and 6953 is 1