Greatest Common Factor of 4149 and 4155

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 4149, 4155 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4149 and 4155 is 3.

GCF(4149,4155) = 3

GCF of 4149 and 4155

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

GCF of:
and

Greatest Common Factor of 4149 and 4155

GCF of 4149 and 4155 is 3

Prime Factorization of 4149


3 4149
3 1383
461 461
1

Prime factors of 4149 are 3,461. Prime factorization of 4149 in exponential form is:

4149 = 32×4611

Prime Factorization of 4155


3 4155
5 1385
277 277
1

Prime factors of 4155 are 3,5,277. Prime factorization of 4155 in exponential form is:

4155 = 31×51×2771

∴ So by taking common prime factors GCF of 4149 and 4155 is 3

Greatest Common Factor of 4149 and 4155 by matching factors method

Factors of 4149

List of positive integer factors of 4149 that divides 4149 without a remainder.

1,3,9,461,1383,4149

Factors of 4155

List of positive integer factors of 4155 that divides 4155 without a remainder.

1,3,5,15,277,831,1385,4155

Greatest Common Factor

We found the factors and prime factorization of 4149 and 4155. The biggest common factor number is the GCF number.
So the greatest common factor 4149 and 4155 is 3.

Also check out the Least Common Multiple of 4149 and 4155

Properties of GCF 4149 and 4155

(i) The GCF of 4149 and 4155 is associative

GCF of 4149 and 4155 = GCF of 4155 and 4149

Related Greatest Common Factor of 4149

Related Greatest Common Factor of 4155

Frequently Asked Questions on GCF of 4149 and 4155

1. What is the GCF of 4149 and 4155?

Answer: GCF of 4149 and 4155 is 3.

2. What are the Factors of 4149?

Answer: Factors of 4149 are 1, 3, 9, 461, 1383, 4149. There are 6 integers that are factors of 4149. The greatest factor of 4149 is 4149.

3. What are the Factors of 4155?

Answer: Factors of 4155 are 1, 3, 5, 15, 277, 831, 1385, 4155. There are 8 integers that are factors of 4155. The greatest factor of 4155 is 4155.

4. How to Find the GCF of 4149 and 4155?

Answer:

Greatest Common Factor of 4149 and 4155 = 3

Step 1: Find the prime factorization of 4149

4149 = 3 x 3 x 461

Step 2: Find the prime factorization of 4155

4155 = 3 x 5 x 277

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 4149 and 4155 is 3