Greatest Common Factor of 4672 and 4678

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 4672, 4678 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4672 and 4678 is 2.

GCF(4672,4678) = 2

GCF of 4672 and 4678

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

GCF of:
and

Greatest Common Factor of 4672 and 4678

GCF of 4672 and 4678 is 2

Prime Factorization of 4672


2 4672
2 2336
2 1168
2 584
2 292
2 146
73 73
1

Prime factors of 4672 are 2,73. Prime factorization of 4672 in exponential form is:

4672 = 26×731

Prime Factorization of 4678


2 4678
2339 2339
1

Prime factors of 4678 are 2,2339. Prime factorization of 4678 in exponential form is:

4678 = 21×23391

∴ So by taking common prime factors GCF of 4672 and 4678 is 2

Greatest Common Factor of 4672 and 4678 by matching factors method

Factors of 4672

List of positive integer factors of 4672 that divides 4672 without a remainder.

1,2,4,8,16,32,64,73,146,292,584,1168,2336,4672

Factors of 4678

List of positive integer factors of 4678 that divides 4678 without a remainder.

1,2,2339,4678

Greatest Common Factor

We found the factors and prime factorization of 4672 and 4678. The biggest common factor number is the GCF number.
So the greatest common factor 4672 and 4678 is 2.

Also check out the Least Common Multiple of 4672 and 4678

Properties of GCF 4672 and 4678

(i) The GCF of 4672 and 4678 is associative

GCF of 4672 and 4678 = GCF of 4678 and 4672

Related Greatest Common Factor of 4672

Related Greatest Common Factor of 4678

Frequently Asked Questions on GCF of 4672 and 4678

1. What is the GCF of 4672 and 4678?

Answer: GCF of 4672 and 4678 is 2.

2. What are the Factors of 4672?

Answer: Factors of 4672 are 1, 2, 4, 8, 16, 32, 64, 73, 146, 292, 584, 1168, 2336, 4672. There are 14 integers that are factors of 4672. The greatest factor of 4672 is 4672.

3. What are the Factors of 4678?

Answer: Factors of 4678 are 1, 2, 2339, 4678. There are 4 integers that are factors of 4678. The greatest factor of 4678 is 4678.

4. How to Find the GCF of 4672 and 4678?

Answer:

Greatest Common Factor of 4672 and 4678 = 2

Step 1: Find the prime factorization of 4672

4672 = 2 x 2 x 2 x 2 x 2 x 2 x 73

Step 2: Find the prime factorization of 4678

4678 = 2 x 2339

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 4672 and 4678 is 2