Greatest Common Factor of 4749 and 4752

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 4749, 4752 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4749 and 4752 is 3.

GCF(4749,4752) = 3

GCF of 4749 and 4752

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

GCF of:
and

Greatest Common Factor of 4749 and 4752

GCF of 4749 and 4752 is 3

Prime Factorization of 4749


3 4749
1583 1583
1

Prime factors of 4749 are 3,1583. Prime factorization of 4749 in exponential form is:

4749 = 31×15831

Prime Factorization of 4752


2 4752
2 2376
2 1188
2 594
3 297
3 99
3 33
11 11
1

Prime factors of 4752 are 2,3,11. Prime factorization of 4752 in exponential form is:

4752 = 24×33×111

∴ So by taking common prime factors GCF of 4749 and 4752 is 3

Greatest Common Factor of 4749 and 4752 by matching factors method

Factors of 4749

List of positive integer factors of 4749 that divides 4749 without a remainder.

1,3,1583,4749

Factors of 4752

List of positive integer factors of 4752 that divides 4752 without a remainder.

1,2,3,4,6,8,9,11,12,16,18,22,24,27,33,36,44,48,54,66,72,88,99,108,132,144,176,198,216,264,297,396,432,528,594,792,1188,1584,2376,4752

Greatest Common Factor

We found the factors and prime factorization of 4749 and 4752. The biggest common factor number is the GCF number.
So the greatest common factor 4749 and 4752 is 3.

Also check out the Least Common Multiple of 4749 and 4752

Properties of GCF 4749 and 4752

(i) The GCF of 4749 and 4752 is associative

GCF of 4749 and 4752 = GCF of 4752 and 4749

Related Greatest Common Factor of 4749

Related Greatest Common Factor of 4752

Frequently Asked Questions on GCF of 4749 and 4752

1. What is the GCF of 4749 and 4752?

Answer: GCF of 4749 and 4752 is 3.

2. What are the Factors of 4749?

Answer: Factors of 4749 are 1, 3, 1583, 4749. There are 4 integers that are factors of 4749. The greatest factor of 4749 is 4749.

3. What are the Factors of 4752?

Answer: Factors of 4752 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 27, 33, 36, 44, 48, 54, 66, 72, 88, 99, 108, 132, 144, 176, 198, 216, 264, 297, 396, 432, 528, 594, 792, 1188, 1584, 2376, 4752. There are 40 integers that are factors of 4752. The greatest factor of 4752 is 4752.

4. How to Find the GCF of 4749 and 4752?

Answer:

Greatest Common Factor of 4749 and 4752 = 3

Step 1: Find the prime factorization of 4749

4749 = 3 x 1583

Step 2: Find the prime factorization of 4752

4752 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 11

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

GCF = 3

Step 4: Therefore, the greatest common factor of 4749 and 4752 is 3