Greatest Common Factor of 8342 and 8347

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 8342, 8347 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8342 and 8347 is 1.

GCF(8342,8347) = 1

GCF of 8342 and 8347

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

GCF of:
and

Greatest Common Factor of 8342 and 8347

GCF of 8342 and 8347 is 1

Prime Factorization of 8342


2 8342
43 4171
97 97
1

Prime factors of 8342 are 2,43,97. Prime factorization of 8342 in exponential form is:

8342 = 21×431×971

Prime Factorization of 8347


17 8347
491 491
1

Prime factors of 8347 are 17,491. Prime factorization of 8347 in exponential form is:

8347 = 171×4911

∴ So by taking common prime factors GCF of 8342 and 8347 is 1

Greatest Common Factor of 8342 and 8347 by matching factors method

Factors of 8342

List of positive integer factors of 8342 that divides 8342 without a remainder.

1,2,43,86,97,194,4171,8342

Factors of 8347

List of positive integer factors of 8347 that divides 8347 without a remainder.

1,17,491,8347

Greatest Common Factor

We found the factors and prime factorization of 8342 and 8347. The biggest common factor number is the GCF number.
So the greatest common factor 8342 and 8347 is 1.

Also check out the Least Common Multiple of 8342 and 8347

Properties of GCF 8342 and 8347

(i) The GCF of 8342 and 8347 is associative

GCF of 8342 and 8347 = GCF of 8347 and 8342

Related Greatest Common Factor of 8342

Related Greatest Common Factor of 8347

Frequently Asked Questions on GCF of 8342 and 8347

1. What is the GCF of 8342 and 8347?

Answer: GCF of 8342 and 8347 is 1.

2. What are the Factors of 8342?

Answer: Factors of 8342 are 1, 2, 43, 86, 97, 194, 4171, 8342. There are 8 integers that are factors of 8342. The greatest factor of 8342 is 8342.

3. What are the Factors of 8347?

Answer: Factors of 8347 are 1, 17, 491, 8347. There are 4 integers that are factors of 8347. The greatest factor of 8347 is 8347.

4. How to Find the GCF of 8342 and 8347?

Answer:

Greatest Common Factor of 8342 and 8347 = 1

Step 1: Find the prime factorization of 8342

8342 = 2 x 43 x 97

Step 2: Find the prime factorization of 8347

8347 = 17 x 491

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 8342 and 8347 is 1