Greatest Common Factor of 8684 and 8688

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 8684, 8688 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8684 and 8688 is 4.

GCF(8684,8688) = 4

GCF of 8684 and 8688

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

GCF of:
and

Greatest Common Factor of 8684 and 8688

GCF of 8684 and 8688 is 4

Prime Factorization of 8684


2 8684
2 4342
13 2171
167 167
1

Prime factors of 8684 are 2,13,167. Prime factorization of 8684 in exponential form is:

8684 = 22×131×1671

Prime Factorization of 8688


2 8688
2 4344
2 2172
2 1086
3 543
181 181
1

Prime factors of 8688 are 2,3,181. Prime factorization of 8688 in exponential form is:

8688 = 24×31×1811

∴ So by taking common prime factors GCF of 8684 and 8688 is 4

Greatest Common Factor of 8684 and 8688 by matching factors method

Factors of 8684

List of positive integer factors of 8684 that divides 8684 without a remainder.

1,2,4,13,26,52,167,334,668,2171,4342,8684

Factors of 8688

List of positive integer factors of 8688 that divides 8688 without a remainder.

1,2,3,4,6,8,12,16,24,48,181,362,543,724,1086,1448,2172,2896,4344,8688

Greatest Common Factor

We found the factors and prime factorization of 8684 and 8688. The biggest common factor number is the GCF number.
So the greatest common factor 8684 and 8688 is 4.

Also check out the Least Common Multiple of 8684 and 8688

Properties of GCF 8684 and 8688

(i) The GCF of 8684 and 8688 is associative

GCF of 8684 and 8688 = GCF of 8688 and 8684

Related Greatest Common Factor of 8684

Related Greatest Common Factor of 8688

Frequently Asked Questions on GCF of 8684 and 8688

1. What is the GCF of 8684 and 8688?

Answer: GCF of 8684 and 8688 is 4.

2. What are the Factors of 8684?

Answer: Factors of 8684 are 1, 2, 4, 13, 26, 52, 167, 334, 668, 2171, 4342, 8684. There are 12 integers that are factors of 8684. The greatest factor of 8684 is 8684.

3. What are the Factors of 8688?

Answer: Factors of 8688 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 181, 362, 543, 724, 1086, 1448, 2172, 2896, 4344, 8688. There are 20 integers that are factors of 8688. The greatest factor of 8688 is 8688.

4. How to Find the GCF of 8684 and 8688?

Answer:

Greatest Common Factor of 8684 and 8688 = 4

Step 1: Find the prime factorization of 8684

8684 = 2 x 2 x 13 x 167

Step 2: Find the prime factorization of 8688

8688 = 2 x 2 x 2 x 2 x 3 x 181

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 8684 and 8688 is 4