Greatest Common Factor of 4668 and 4672

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 4668, 4672 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4668 and 4672 is 4.

GCF(4668,4672) = 4

GCF of 4668 and 4672

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

GCF of:
and

Greatest Common Factor of 4668 and 4672

GCF of 4668 and 4672 is 4

Prime Factorization of 4668


2 4668
2 2334
3 1167
389 389
1

Prime factors of 4668 are 2,3,389. Prime factorization of 4668 in exponential form is:

4668 = 22×31×3891

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

∴ So by taking common prime factors GCF of 4668 and 4672 is 4

Greatest Common Factor of 4668 and 4672 by matching factors method

Factors of 4668

List of positive integer factors of 4668 that divides 4668 without a remainder.

1,2,3,4,6,12,389,778,1167,1556,2334,4668

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

Greatest Common Factor

We found the factors and prime factorization of 4668 and 4672. The biggest common factor number is the GCF number.
So the greatest common factor 4668 and 4672 is 4.

Also check out the Least Common Multiple of 4668 and 4672

Properties of GCF 4668 and 4672

(i) The GCF of 4668 and 4672 is associative

GCF of 4668 and 4672 = GCF of 4672 and 4668

Related Greatest Common Factor of 4668

Related Greatest Common Factor of 4672

Frequently Asked Questions on GCF of 4668 and 4672

1. What is the GCF of 4668 and 4672?

Answer: GCF of 4668 and 4672 is 4.

2. What are the Factors of 4668?

Answer: Factors of 4668 are 1, 2, 3, 4, 6, 12, 389, 778, 1167, 1556, 2334, 4668. There are 12 integers that are factors of 4668. The greatest factor of 4668 is 4668.

3. 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.

4. How to Find the GCF of 4668 and 4672?

Answer:

Greatest Common Factor of 4668 and 4672 = 4

Step 1: Find the prime factorization of 4668

4668 = 2 x 2 x 3 x 389

Step 2: Find the prime factorization of 4672

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

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 4668 and 4672 is 4