Greatest Common Factor of 8670 and 8672

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 8670, 8672 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8670 and 8672 is 2.

GCF(8670,8672) = 2

GCF of 8670 and 8672

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

GCF of:
and

Greatest Common Factor of 8670 and 8672

GCF of 8670 and 8672 is 2

Prime Factorization of 8670


2 8670
3 4335
5 1445
17 289
17 17
1

Prime factors of 8670 are 2,3,5,17. Prime factorization of 8670 in exponential form is:

8670 = 21×31×51×172

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

∴ So by taking common prime factors GCF of 8670 and 8672 is 2

Greatest Common Factor of 8670 and 8672 by matching factors method

Factors of 8670

List of positive integer factors of 8670 that divides 8670 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,289,510,578,867,1445,1734,2890,4335,8670

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

Greatest Common Factor

We found the factors and prime factorization of 8670 and 8672. The biggest common factor number is the GCF number.
So the greatest common factor 8670 and 8672 is 2.

Also check out the Least Common Multiple of 8670 and 8672

Properties of GCF 8670 and 8672

(i) The GCF of 8670 and 8672 is associative

GCF of 8670 and 8672 = GCF of 8672 and 8670

Related Greatest Common Factor of 8670

Related Greatest Common Factor of 8672

Frequently Asked Questions on GCF of 8670 and 8672

1. What is the GCF of 8670 and 8672?

Answer: GCF of 8670 and 8672 is 2.

2. What are the Factors of 8670?

Answer: Factors of 8670 are 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 289, 510, 578, 867, 1445, 1734, 2890, 4335, 8670. There are 24 integers that are factors of 8670. The greatest factor of 8670 is 8670.

3. 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.

4. How to Find the GCF of 8670 and 8672?

Answer:

Greatest Common Factor of 8670 and 8672 = 2

Step 1: Find the prime factorization of 8670

8670 = 2 x 3 x 5 x 17 x 17

Step 2: Find the prime factorization of 8672

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

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 8670 and 8672 is 2