Greatest Common Factor of 4672 and 4676

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, 4676 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4672 and 4676 is 4.

GCF(4672,4676) = 4

GCF of 4672 and 4676

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

GCF of:
and

Greatest Common Factor of 4672 and 4676

GCF of 4672 and 4676 is 4

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 4676


2 4676
2 2338
7 1169
167 167
1

Prime factors of 4676 are 2,7,167. Prime factorization of 4676 in exponential form is:

4676 = 22×71×1671

∴ So by taking common prime factors GCF of 4672 and 4676 is 4

Greatest Common Factor of 4672 and 4676 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 4676

List of positive integer factors of 4676 that divides 4676 without a remainder.

1,2,4,7,14,28,167,334,668,1169,2338,4676

Greatest Common Factor

We found the factors and prime factorization of 4672 and 4676. The biggest common factor number is the GCF number.
So the greatest common factor 4672 and 4676 is 4.

Also check out the Least Common Multiple of 4672 and 4676

Properties of GCF 4672 and 4676

(i) The GCF of 4672 and 4676 is associative

GCF of 4672 and 4676 = GCF of 4676 and 4672

Related Greatest Common Factor of 4672

Related Greatest Common Factor of 4676

Frequently Asked Questions on GCF of 4672 and 4676

1. What is the GCF of 4672 and 4676?

Answer: GCF of 4672 and 4676 is 4.

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 4676?

Answer: Factors of 4676 are 1, 2, 4, 7, 14, 28, 167, 334, 668, 1169, 2338, 4676. There are 12 integers that are factors of 4676. The greatest factor of 4676 is 4676.

4. How to Find the GCF of 4672 and 4676?

Answer:

Greatest Common Factor of 4672 and 4676 = 4

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 4676

4676 = 2 x 2 x 7 x 167

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 4672 and 4676 is 4