Greatest Common Factor of 51 and 54

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 51, 54 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 51 and 54 is 3.

GCF(51,54) = 3

GCF of 51 and 54

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

GCF of:
and

Greatest Common Factor of 51 and 54

GCF of 51 and 54 is 3

Prime Factorization of 51


3 51
17 17
1

Prime factors of 51 are 3,17. Prime factorization of 51 in exponential form is:

51 = 31×171

Prime Factorization of 54


2 54
3 27
3 9
3 3
1

Prime factors of 54 are 2,3. Prime factorization of 54 in exponential form is:

54 = 21×33

∴ So by taking common prime factors GCF of 51 and 54 is 3

Greatest Common Factor of 51 and 54 by matching factors method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Greatest Common Factor

We found the factors and prime factorization of 51 and 54. The biggest common factor number is the GCF number.
So the greatest common factor 51 and 54 is 3.

Also check out the Least Common Multiple of 51 and 54

Properties of GCF 51 and 54

(i) The GCF of 51 and 54 is associative

GCF of 51 and 54 = GCF of 54 and 51

Related Greatest Common Factor of 51

Related Greatest Common Factor of 54

Frequently Asked Questions on GCF of 51 and 54

1. What is the GCF of 51 and 54?

Answer: GCF of 51 and 54 is 3.

2. What are the Factors of 51?

Answer: Factors of 51 are 1, 3, 17, 51. There are 4 integers that are factors of 51. The greatest factor of 51 is 51.

3. What are the Factors of 54?

Answer: Factors of 54 are 1, 2, 3, 6, 9, 18, 27, 54. There are 8 integers that are factors of 54. The greatest factor of 54 is 54.

4. How to Find the GCF of 51 and 54?

Answer:

Greatest Common Factor of 51 and 54 = 3

Step 1: Find the prime factorization of 51

51 = 3 x 17

Step 2: Find the prime factorization of 54

54 = 2 x 3 x 3 x 3

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 51 and 54 is 3