Greatest Common Factor of 8696 and 8704

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 8696, 8704 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8696 and 8704 is 8.

GCF(8696,8704) = 8

GCF of 8696 and 8704

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

GCF of:
and

Greatest Common Factor of 8696 and 8704

GCF of 8696 and 8704 is 8

Prime Factorization of 8696


2 8696
2 4348
2 2174
1087 1087
1

Prime factors of 8696 are 2,1087. Prime factorization of 8696 in exponential form is:

8696 = 23×10871

Prime Factorization of 8704


2 8704
2 4352
2 2176
2 1088
2 544
2 272
2 136
2 68
2 34
17 17
1

Prime factors of 8704 are 2,17. Prime factorization of 8704 in exponential form is:

8704 = 29×171

∴ So by taking common prime factors GCF of 8696 and 8704 is 8

Greatest Common Factor of 8696 and 8704 by matching factors method

Factors of 8696

List of positive integer factors of 8696 that divides 8696 without a remainder.

1,2,4,8,1087,2174,4348,8696

Factors of 8704

List of positive integer factors of 8704 that divides 8704 without a remainder.

1,2,4,8,16,17,32,34,64,68,128,136,256,272,512,544,1088,2176,4352,8704

Greatest Common Factor

We found the factors and prime factorization of 8696 and 8704. The biggest common factor number is the GCF number.
So the greatest common factor 8696 and 8704 is 8.

Also check out the Least Common Multiple of 8696 and 8704

Properties of GCF 8696 and 8704

(i) The GCF of 8696 and 8704 is associative

GCF of 8696 and 8704 = GCF of 8704 and 8696

Related Greatest Common Factor of 8696

Related Greatest Common Factor of 8704

Frequently Asked Questions on GCF of 8696 and 8704

1. What is the GCF of 8696 and 8704?

Answer: GCF of 8696 and 8704 is 8.

2. What are the Factors of 8696?

Answer: Factors of 8696 are 1, 2, 4, 8, 1087, 2174, 4348, 8696. There are 8 integers that are factors of 8696. The greatest factor of 8696 is 8696.

3. What are the Factors of 8704?

Answer: Factors of 8704 are 1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 128, 136, 256, 272, 512, 544, 1088, 2176, 4352, 8704. There are 20 integers that are factors of 8704. The greatest factor of 8704 is 8704.

4. How to Find the GCF of 8696 and 8704?

Answer:

Greatest Common Factor of 8696 and 8704 = 8

Step 1: Find the prime factorization of 8696

8696 = 2 x 2 x 2 x 1087

Step 2: Find the prime factorization of 8704

8704 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 17

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 8696 and 8704 is 8