Greatest Common Factor of 4672 and 4674

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, 4674 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4672 and 4674 is 2.

GCF(4672,4674) = 2

GCF of 4672 and 4674

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

GCF of:
and

Greatest Common Factor of 4672 and 4674

GCF of 4672 and 4674 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 4674


2 4674
3 2337
19 779
41 41
1

Prime factors of 4674 are 2,3,19,41. Prime factorization of 4674 in exponential form is:

4674 = 21×31×191×411

∴ So by taking common prime factors GCF of 4672 and 4674 is 2

Greatest Common Factor of 4672 and 4674 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 4674

List of positive integer factors of 4674 that divides 4674 without a remainder.

1,2,3,6,19,38,41,57,82,114,123,246,779,1558,2337,4674

Greatest Common Factor

We found the factors and prime factorization of 4672 and 4674. The biggest common factor number is the GCF number.
So the greatest common factor 4672 and 4674 is 2.

Also check out the Least Common Multiple of 4672 and 4674

Properties of GCF 4672 and 4674

(i) The GCF of 4672 and 4674 is associative

GCF of 4672 and 4674 = GCF of 4674 and 4672

Related Greatest Common Factor of 4672

Related Greatest Common Factor of 4674

Frequently Asked Questions on GCF of 4672 and 4674

1. What is the GCF of 4672 and 4674?

Answer: GCF of 4672 and 4674 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 4674?

Answer: Factors of 4674 are 1, 2, 3, 6, 19, 38, 41, 57, 82, 114, 123, 246, 779, 1558, 2337, 4674. There are 16 integers that are factors of 4674. The greatest factor of 4674 is 4674.

4. How to Find the GCF of 4672 and 4674?

Answer:

Greatest Common Factor of 4672 and 4674 = 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 4674

4674 = 2 x 3 x 19 x 41

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 4674 is 2