Greatest Common Factor of 8672 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 8672, 8680 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8672 and 8680 is 8.

GCF(8672,8680) = 8

GCF of 8672 and 8680

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

GCF of:
and

Greatest Common Factor of 8672 and 8680

GCF of 8672 and 8680 is 8

Prime Factorization of 8672


2 8672
2 4336
2 2168
2 1084
2 542
271 271
1

Prime factors of 8672 are 2,271. Prime factorization of 8672 in exponential form is:

8672 = 25×2711

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 8672 and 8680 is 8

Greatest Common Factor of 8672 and 8680 by matching factors method

Factors of 8672

List of positive integer factors of 8672 that divides 8672 without a remainder.

1,2,4,8,16,32,271,542,1084,2168,4336,8672

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 8672 and 8680. The biggest common factor number is the GCF number.
So the greatest common factor 8672 and 8680 is 8.

Also check out the Least Common Multiple of 8672 and 8680

Properties of GCF 8672 and 8680

(i) The GCF of 8672 and 8680 is associative

GCF of 8672 and 8680 = GCF of 8680 and 8672

Related Greatest Common Factor of 8672

Related Greatest Common Factor of 8680

Frequently Asked Questions on GCF of 8672 and 8680

1. What is the GCF of 8672 and 8680?

Answer: GCF of 8672 and 8680 is 8.

2. What are the Factors of 8672?

Answer: Factors of 8672 are 1, 2, 4, 8, 16, 32, 271, 542, 1084, 2168, 4336, 8672. There are 12 integers that are factors of 8672. The greatest factor of 8672 is 8672.

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 8672 and 8680?

Answer:

Greatest Common Factor of 8672 and 8680 = 8

Step 1: Find the prime factorization of 8672

8672 = 2 x 2 x 2 x 2 x 2 x 271

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 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 8672 and 8680 is 8