Greatest Common Factor of 4752 and 4758

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 4752, 4758 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4752 and 4758 is 6.

GCF(4752,4758) = 6

GCF of 4752 and 4758

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

GCF of:
and

Greatest Common Factor of 4752 and 4758

GCF of 4752 and 4758 is 6

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

Prime Factorization of 4758


2 4758
3 2379
13 793
61 61
1

Prime factors of 4758 are 2,3,13,61. Prime factorization of 4758 in exponential form is:

4758 = 21×31×131×611

∴ So by taking common prime factors GCF of 4752 and 4758 is 6

Greatest Common Factor of 4752 and 4758 by matching factors method

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

Factors of 4758

List of positive integer factors of 4758 that divides 4758 without a remainder.

1,2,3,6,13,26,39,61,78,122,183,366,793,1586,2379,4758

Greatest Common Factor

We found the factors and prime factorization of 4752 and 4758. The biggest common factor number is the GCF number.
So the greatest common factor 4752 and 4758 is 6.

Also check out the Least Common Multiple of 4752 and 4758

Properties of GCF 4752 and 4758

(i) The GCF of 4752 and 4758 is associative

GCF of 4752 and 4758 = GCF of 4758 and 4752

Related Greatest Common Factor of 4752

Related Greatest Common Factor of 4758

Frequently Asked Questions on GCF of 4752 and 4758

1. What is the GCF of 4752 and 4758?

Answer: GCF of 4752 and 4758 is 6.

2. 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.

3. What are the Factors of 4758?

Answer: Factors of 4758 are 1, 2, 3, 6, 13, 26, 39, 61, 78, 122, 183, 366, 793, 1586, 2379, 4758. There are 16 integers that are factors of 4758. The greatest factor of 4758 is 4758.

4. How to Find the GCF of 4752 and 4758?

Answer:

Greatest Common Factor of 4752 and 4758 = 6

Step 1: Find the prime factorization of 4752

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

Step 2: Find the prime factorization of 4758

4758 = 2 x 3 x 13 x 61

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 4752 and 4758 is 6