Greatest Common Factor of 6153 and 6159

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 6153, 6159 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6153 and 6159 is 3.

GCF(6153,6159) = 3

GCF of 6153 and 6159

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

GCF of:
and

Greatest Common Factor of 6153 and 6159

GCF of 6153 and 6159 is 3

Prime Factorization of 6153


3 6153
7 2051
293 293
1

Prime factors of 6153 are 3,7,293. Prime factorization of 6153 in exponential form is:

6153 = 31×71×2931

Prime Factorization of 6159


3 6159
2053 2053
1

Prime factors of 6159 are 3,2053. Prime factorization of 6159 in exponential form is:

6159 = 31×20531

∴ So by taking common prime factors GCF of 6153 and 6159 is 3

Greatest Common Factor of 6153 and 6159 by matching factors method

Factors of 6153

List of positive integer factors of 6153 that divides 6153 without a remainder.

1,3,7,21,293,879,2051,6153

Factors of 6159

List of positive integer factors of 6159 that divides 6159 without a remainder.

1,3,2053,6159

Greatest Common Factor

We found the factors and prime factorization of 6153 and 6159. The biggest common factor number is the GCF number.
So the greatest common factor 6153 and 6159 is 3.

Also check out the Least Common Multiple of 6153 and 6159

Properties of GCF 6153 and 6159

(i) The GCF of 6153 and 6159 is associative

GCF of 6153 and 6159 = GCF of 6159 and 6153

Related Greatest Common Factor of 6153

Related Greatest Common Factor of 6159

Frequently Asked Questions on GCF of 6153 and 6159

1. What is the GCF of 6153 and 6159?

Answer: GCF of 6153 and 6159 is 3.

2. What are the Factors of 6153?

Answer: Factors of 6153 are 1, 3, 7, 21, 293, 879, 2051, 6153. There are 8 integers that are factors of 6153. The greatest factor of 6153 is 6153.

3. What are the Factors of 6159?

Answer: Factors of 6159 are 1, 3, 2053, 6159. There are 4 integers that are factors of 6159. The greatest factor of 6159 is 6159.

4. How to Find the GCF of 6153 and 6159?

Answer:

Greatest Common Factor of 6153 and 6159 = 3

Step 1: Find the prime factorization of 6153

6153 = 3 x 7 x 293

Step 2: Find the prime factorization of 6159

6159 = 3 x 2053

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 6153 and 6159 is 3