Greatest Common Factor of 4161 and 4167

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 4161, 4167 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4161 and 4167 is 3.

GCF(4161,4167) = 3

GCF of 4161 and 4167

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

GCF of:
and

Greatest Common Factor of 4161 and 4167

GCF of 4161 and 4167 is 3

Prime Factorization of 4161


3 4161
19 1387
73 73
1

Prime factors of 4161 are 3,19,73. Prime factorization of 4161 in exponential form is:

4161 = 31×191×731

Prime Factorization of 4167


3 4167
3 1389
463 463
1

Prime factors of 4167 are 3,463. Prime factorization of 4167 in exponential form is:

4167 = 32×4631

∴ So by taking common prime factors GCF of 4161 and 4167 is 3

Greatest Common Factor of 4161 and 4167 by matching factors method

Factors of 4161

List of positive integer factors of 4161 that divides 4161 without a remainder.

1,3,19,57,73,219,1387,4161

Factors of 4167

List of positive integer factors of 4167 that divides 4167 without a remainder.

1,3,9,463,1389,4167

Greatest Common Factor

We found the factors and prime factorization of 4161 and 4167. The biggest common factor number is the GCF number.
So the greatest common factor 4161 and 4167 is 3.

Also check out the Least Common Multiple of 4161 and 4167

Properties of GCF 4161 and 4167

(i) The GCF of 4161 and 4167 is associative

GCF of 4161 and 4167 = GCF of 4167 and 4161

Related Greatest Common Factor of 4161

Related Greatest Common Factor of 4167

Frequently Asked Questions on GCF of 4161 and 4167

1. What is the GCF of 4161 and 4167?

Answer: GCF of 4161 and 4167 is 3.

2. What are the Factors of 4161?

Answer: Factors of 4161 are 1, 3, 19, 57, 73, 219, 1387, 4161. There are 8 integers that are factors of 4161. The greatest factor of 4161 is 4161.

3. What are the Factors of 4167?

Answer: Factors of 4167 are 1, 3, 9, 463, 1389, 4167. There are 6 integers that are factors of 4167. The greatest factor of 4167 is 4167.

4. How to Find the GCF of 4161 and 4167?

Answer:

Greatest Common Factor of 4161 and 4167 = 3

Step 1: Find the prime factorization of 4161

4161 = 3 x 19 x 73

Step 2: Find the prime factorization of 4167

4167 = 3 x 3 x 463

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 4161 and 4167 is 3