Greatest Common Factor of 4146 and 4152

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 4146, 4152 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4146 and 4152 is 6.

GCF(4146,4152) = 6

GCF of 4146 and 4152

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

GCF of:
and

Greatest Common Factor of 4146 and 4152

GCF of 4146 and 4152 is 6

Prime Factorization of 4146


2 4146
3 2073
691 691
1

Prime factors of 4146 are 2,3,691. Prime factorization of 4146 in exponential form is:

4146 = 21×31×6911

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

∴ So by taking common prime factors GCF of 4146 and 4152 is 6

Greatest Common Factor of 4146 and 4152 by matching factors method

Factors of 4146

List of positive integer factors of 4146 that divides 4146 without a remainder.

1,2,3,6,691,1382,2073,4146

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

Greatest Common Factor

We found the factors and prime factorization of 4146 and 4152. The biggest common factor number is the GCF number.
So the greatest common factor 4146 and 4152 is 6.

Also check out the Least Common Multiple of 4146 and 4152

Properties of GCF 4146 and 4152

(i) The GCF of 4146 and 4152 is associative

GCF of 4146 and 4152 = GCF of 4152 and 4146

Related Greatest Common Factor of 4146

Related Greatest Common Factor of 4152

Frequently Asked Questions on GCF of 4146 and 4152

1. What is the GCF of 4146 and 4152?

Answer: GCF of 4146 and 4152 is 6.

2. What are the Factors of 4146?

Answer: Factors of 4146 are 1, 2, 3, 6, 691, 1382, 2073, 4146. There are 8 integers that are factors of 4146. The greatest factor of 4146 is 4146.

3. 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.

4. How to Find the GCF of 4146 and 4152?

Answer:

Greatest Common Factor of 4146 and 4152 = 6

Step 1: Find the prime factorization of 4146

4146 = 2 x 3 x 691

Step 2: Find the prime factorization of 4152

4152 = 2 x 2 x 2 x 3 x 173

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 4146 and 4152 is 6