Greatest Common Factor of 8678 and 8680

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 8678, 8680 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8678 and 8680 is 2.

GCF(8678,8680) = 2

GCF of 8678 and 8680

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

GCF of:
and

Greatest Common Factor of 8678 and 8680

GCF of 8678 and 8680 is 2

Prime Factorization of 8678


2 8678
4339 4339
1

Prime factors of 8678 are 2,4339. Prime factorization of 8678 in exponential form is:

8678 = 21×43391

Prime Factorization of 8680


2 8680
2 4340
2 2170
5 1085
7 217
31 31
1

Prime factors of 8680 are 2,5,7,31. Prime factorization of 8680 in exponential form is:

8680 = 23×51×71×311

∴ So by taking common prime factors GCF of 8678 and 8680 is 2

Greatest Common Factor of 8678 and 8680 by matching factors method

Factors of 8678

List of positive integer factors of 8678 that divides 8678 without a remainder.

1,2,4339,8678

Factors of 8680

List of positive integer factors of 8680 that divides 8680 without a remainder.

1,2,4,5,7,8,10,14,20,28,31,35,40,56,62,70,124,140,155,217,248,280,310,434,620,868,1085,1240,1736,2170,4340,8680

Greatest Common Factor

We found the factors and prime factorization of 8678 and 8680. The biggest common factor number is the GCF number.
So the greatest common factor 8678 and 8680 is 2.

Also check out the Least Common Multiple of 8678 and 8680

Properties of GCF 8678 and 8680

(i) The GCF of 8678 and 8680 is associative

GCF of 8678 and 8680 = GCF of 8680 and 8678

Related Greatest Common Factor of 8678

Related Greatest Common Factor of 8680

Frequently Asked Questions on GCF of 8678 and 8680

1. What is the GCF of 8678 and 8680?

Answer: GCF of 8678 and 8680 is 2.

2. What are the Factors of 8678?

Answer: Factors of 8678 are 1, 2, 4339, 8678. There are 4 integers that are factors of 8678. The greatest factor of 8678 is 8678.

3. What are the Factors of 8680?

Answer: Factors of 8680 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 31, 35, 40, 56, 62, 70, 124, 140, 155, 217, 248, 280, 310, 434, 620, 868, 1085, 1240, 1736, 2170, 4340, 8680. There are 32 integers that are factors of 8680. The greatest factor of 8680 is 8680.

4. How to Find the GCF of 8678 and 8680?

Answer:

Greatest Common Factor of 8678 and 8680 = 2

Step 1: Find the prime factorization of 8678

8678 = 2 x 4339

Step 2: Find the prime factorization of 8680

8680 = 2 x 2 x 2 x 5 x 7 x 31

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

GCF = 2

Step 4: Therefore, the greatest common factor of 8678 and 8680 is 2