Greatest Common Factor of 6943 and 6948

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 6943, 6948 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6943 and 6948 is 1.

GCF(6943,6948) = 1

GCF of 6943 and 6948

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

GCF of:
and

Greatest Common Factor of 6943 and 6948

GCF of 6943 and 6948 is 1

Prime Factorization of 6943


53 6943
131 131
1

Prime factors of 6943 are 53,131. Prime factorization of 6943 in exponential form is:

6943 = 531×1311

Prime Factorization of 6948


2 6948
2 3474
3 1737
3 579
193 193
1

Prime factors of 6948 are 2,3,193. Prime factorization of 6948 in exponential form is:

6948 = 22×32×1931

∴ So by taking common prime factors GCF of 6943 and 6948 is 1

Greatest Common Factor of 6943 and 6948 by matching factors method

Factors of 6943

List of positive integer factors of 6943 that divides 6943 without a remainder.

1,53,131,6943

Factors of 6948

List of positive integer factors of 6948 that divides 6948 without a remainder.

1,2,3,4,6,9,12,18,36,193,386,579,772,1158,1737,2316,3474,6948

Greatest Common Factor

We found the factors and prime factorization of 6943 and 6948. The biggest common factor number is the GCF number.
So the greatest common factor 6943 and 6948 is 1.

Also check out the Least Common Multiple of 6943 and 6948

Properties of GCF 6943 and 6948

(i) The GCF of 6943 and 6948 is associative

GCF of 6943 and 6948 = GCF of 6948 and 6943

Related Greatest Common Factor of 6943

Related Greatest Common Factor of 6948

Frequently Asked Questions on GCF of 6943 and 6948

1. What is the GCF of 6943 and 6948?

Answer: GCF of 6943 and 6948 is 1.

2. What are the Factors of 6943?

Answer: Factors of 6943 are 1, 53, 131, 6943. There are 4 integers that are factors of 6943. The greatest factor of 6943 is 6943.

3. What are the Factors of 6948?

Answer: Factors of 6948 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 193, 386, 579, 772, 1158, 1737, 2316, 3474, 6948. There are 18 integers that are factors of 6948. The greatest factor of 6948 is 6948.

4. How to Find the GCF of 6943 and 6948?

Answer:

Greatest Common Factor of 6943 and 6948 = 1

Step 1: Find the prime factorization of 6943

6943 = 53 x 131

Step 2: Find the prime factorization of 6948

6948 = 2 x 2 x 3 x 3 x 193

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 6943 and 6948 is 1