Greatest Common Factor of 8672 and 8678

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

Greatest common factor (GCF) of 8672 and 8678 is 2.

GCF(8672,8678) = 2

GCF of 8672 and 8678

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

GCF of:
and

Greatest Common Factor of 8672 and 8678

GCF of 8672 and 8678 is 2

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 8678


2 8678
4339 4339
1

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

8678 = 21×43391

∴ So by taking common prime factors GCF of 8672 and 8678 is 2

Greatest Common Factor of 8672 and 8678 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 8678

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

1,2,4339,8678

Greatest Common Factor

We found the factors and prime factorization of 8672 and 8678. The biggest common factor number is the GCF number.
So the greatest common factor 8672 and 8678 is 2.

Also check out the Least Common Multiple of 8672 and 8678

Properties of GCF 8672 and 8678

(i) The GCF of 8672 and 8678 is associative

GCF of 8672 and 8678 = GCF of 8678 and 8672

Related Greatest Common Factor of 8672

Related Greatest Common Factor of 8678

Frequently Asked Questions on GCF of 8672 and 8678

1. What is the GCF of 8672 and 8678?

Answer: GCF of 8672 and 8678 is 2.

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 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.

4. How to Find the GCF of 8672 and 8678?

Answer:

Greatest Common Factor of 8672 and 8678 = 2

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 8678

8678 = 2 x 4339

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 8672 and 8678 is 2