Greatest Common Factor of 4152 and 4158

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 4152, 4158 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4152 and 4158 is 6.

GCF(4152,4158) = 6

GCF of 4152 and 4158

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

GCF of:
and

Greatest Common Factor of 4152 and 4158

GCF of 4152 and 4158 is 6

Prime Factorization of 4152


2 4152
2 2076
2 1038
3 519
173 173
1

Prime factors of 4152 are 2,3,173. Prime factorization of 4152 in exponential form is:

4152 = 23×31×1731

Prime Factorization of 4158


2 4158
3 2079
3 693
3 231
7 77
11 11
1

Prime factors of 4158 are 2,3,7,11. Prime factorization of 4158 in exponential form is:

4158 = 21×33×71×111

∴ So by taking common prime factors GCF of 4152 and 4158 is 6

Greatest Common Factor of 4152 and 4158 by matching factors method

Factors of 4152

List of positive integer factors of 4152 that divides 4152 without a remainder.

1,2,3,4,6,8,12,24,173,346,519,692,1038,1384,2076,4152

Factors of 4158

List of positive integer factors of 4158 that divides 4158 without a remainder.

1,2,3,6,7,9,11,14,18,21,22,27,33,42,54,63,66,77,99,126,154,189,198,231,297,378,462,594,693,1386,2079,4158

Greatest Common Factor

We found the factors and prime factorization of 4152 and 4158. The biggest common factor number is the GCF number.
So the greatest common factor 4152 and 4158 is 6.

Also check out the Least Common Multiple of 4152 and 4158

Properties of GCF 4152 and 4158

(i) The GCF of 4152 and 4158 is associative

GCF of 4152 and 4158 = GCF of 4158 and 4152

Related Greatest Common Factor of 4152

Related Greatest Common Factor of 4158

Frequently Asked Questions on GCF of 4152 and 4158

1. What is the GCF of 4152 and 4158?

Answer: GCF of 4152 and 4158 is 6.

2. What are the Factors of 4152?

Answer: Factors of 4152 are 1, 2, 3, 4, 6, 8, 12, 24, 173, 346, 519, 692, 1038, 1384, 2076, 4152. There are 16 integers that are factors of 4152. The greatest factor of 4152 is 4152.

3. What are the Factors of 4158?

Answer: Factors of 4158 are 1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 27, 33, 42, 54, 63, 66, 77, 99, 126, 154, 189, 198, 231, 297, 378, 462, 594, 693, 1386, 2079, 4158. There are 32 integers that are factors of 4158. The greatest factor of 4158 is 4158.

4. How to Find the GCF of 4152 and 4158?

Answer:

Greatest Common Factor of 4152 and 4158 = 6

Step 1: Find the prime factorization of 4152

4152 = 2 x 2 x 2 x 3 x 173

Step 2: Find the prime factorization of 4158

4158 = 2 x 3 x 3 x 3 x 7 x 11

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 4152 and 4158 is 6