Greatest Common Factor of 8935 and 8943

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 8935, 8943 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8935 and 8943 is 1.

GCF(8935,8943) = 1

GCF of 8935 and 8943

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

GCF of:
and

Greatest Common Factor of 8935 and 8943

GCF of 8935 and 8943 is 1

Prime Factorization of 8935


5 8935
1787 1787
1

Prime factors of 8935 are 5,1787. Prime factorization of 8935 in exponential form is:

8935 = 51×17871

Prime Factorization of 8943


3 8943
11 2981
271 271
1

Prime factors of 8943 are 3,11,271. Prime factorization of 8943 in exponential form is:

8943 = 31×111×2711

∴ So by taking common prime factors GCF of 8935 and 8943 is 1

Greatest Common Factor of 8935 and 8943 by matching factors method

Factors of 8935

List of positive integer factors of 8935 that divides 8935 without a remainder.

1,5,1787,8935

Factors of 8943

List of positive integer factors of 8943 that divides 8943 without a remainder.

1,3,11,33,271,813,2981,8943

Greatest Common Factor

We found the factors and prime factorization of 8935 and 8943. The biggest common factor number is the GCF number.
So the greatest common factor 8935 and 8943 is 1.

Also check out the Least Common Multiple of 8935 and 8943

Properties of GCF 8935 and 8943

(i) The GCF of 8935 and 8943 is associative

GCF of 8935 and 8943 = GCF of 8943 and 8935

Frequently Asked Questions on GCF of 8935 and 8943

1. What is the GCF of 8935 and 8943?

Answer: GCF of 8935 and 8943 is 1.

2. What are the Factors of 8935?

Answer: Factors of 8935 are 1, 5, 1787, 8935. There are 4 integers that are factors of 8935. The greatest factor of 8935 is 8935.

3. What are the Factors of 8943?

Answer: Factors of 8943 are 1, 3, 11, 33, 271, 813, 2981, 8943. There are 8 integers that are factors of 8943. The greatest factor of 8943 is 8943.

4. How to Find the GCF of 8935 and 8943?

Answer:

Greatest Common Factor of 8935 and 8943 = 1

Step 1: Find the prime factorization of 8935

8935 = 5 x 1787

Step 2: Find the prime factorization of 8943

8943 = 3 x 11 x 271

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 8935 and 8943 is 1