Greatest Common Factor of 8733 and 8734

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 8733, 8734 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8733 and 8734 is 1.

GCF(8733,8734) = 1

GCF of 8733 and 8734

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

GCF of:
and

Greatest Common Factor of 8733 and 8734

GCF of 8733 and 8734 is 1

Prime Factorization of 8733


3 8733
41 2911
71 71
1

Prime factors of 8733 are 3,41,71. Prime factorization of 8733 in exponential form is:

8733 = 31×411×711

Prime Factorization of 8734


2 8734
11 4367
397 397
1

Prime factors of 8734 are 2,11,397. Prime factorization of 8734 in exponential form is:

8734 = 21×111×3971

∴ So by taking common prime factors GCF of 8733 and 8734 is 1

Greatest Common Factor of 8733 and 8734 by matching factors method

Factors of 8733

List of positive integer factors of 8733 that divides 8733 without a remainder.

1,3,41,71,123,213,2911,8733

Factors of 8734

List of positive integer factors of 8734 that divides 8734 without a remainder.

1,2,11,22,397,794,4367,8734

Greatest Common Factor

We found the factors and prime factorization of 8733 and 8734. The biggest common factor number is the GCF number.
So the greatest common factor 8733 and 8734 is 1.

Also check out the Least Common Multiple of 8733 and 8734

Properties of GCF 8733 and 8734

(i) The GCF of 8733 and 8734 is associative

GCF of 8733 and 8734 = GCF of 8734 and 8733

Related Greatest Common Factor of 8733

Related Greatest Common Factor of 8734

Frequently Asked Questions on GCF of 8733 and 8734

1. What is the GCF of 8733 and 8734?

Answer: GCF of 8733 and 8734 is 1.

2. What are the Factors of 8733?

Answer: Factors of 8733 are 1, 3, 41, 71, 123, 213, 2911, 8733. There are 8 integers that are factors of 8733. The greatest factor of 8733 is 8733.

3. What are the Factors of 8734?

Answer: Factors of 8734 are 1, 2, 11, 22, 397, 794, 4367, 8734. There are 8 integers that are factors of 8734. The greatest factor of 8734 is 8734.

4. How to Find the GCF of 8733 and 8734?

Answer:

Greatest Common Factor of 8733 and 8734 = 1

Step 1: Find the prime factorization of 8733

8733 = 3 x 41 x 71

Step 2: Find the prime factorization of 8734

8734 = 2 x 11 x 397

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 8733 and 8734 is 1