Greatest Common Factor of 5145 and 5151

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 5145, 5151 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5145 and 5151 is 3.

GCF(5145,5151) = 3

GCF of 5145 and 5151

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

GCF of:
and

Greatest Common Factor of 5145 and 5151

GCF of 5145 and 5151 is 3

Prime Factorization of 5145


3 5145
5 1715
7 343
7 49
7 7
1

Prime factors of 5145 are 3,5,7. Prime factorization of 5145 in exponential form is:

5145 = 31×51×73

Prime Factorization of 5151


3 5151
17 1717
101 101
1

Prime factors of 5151 are 3,17,101. Prime factorization of 5151 in exponential form is:

5151 = 31×171×1011

∴ So by taking common prime factors GCF of 5145 and 5151 is 3

Greatest Common Factor of 5145 and 5151 by matching factors method

Factors of 5145

List of positive integer factors of 5145 that divides 5145 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,343,735,1029,1715,5145

Factors of 5151

List of positive integer factors of 5151 that divides 5151 without a remainder.

1,3,17,51,101,303,1717,5151

Greatest Common Factor

We found the factors and prime factorization of 5145 and 5151. The biggest common factor number is the GCF number.
So the greatest common factor 5145 and 5151 is 3.

Also check out the Least Common Multiple of 5145 and 5151

Properties of GCF 5145 and 5151

(i) The GCF of 5145 and 5151 is associative

GCF of 5145 and 5151 = GCF of 5151 and 5145

Related Greatest Common Factor of 5145

Related Greatest Common Factor of 5151

Frequently Asked Questions on GCF of 5145 and 5151

1. What is the GCF of 5145 and 5151?

Answer: GCF of 5145 and 5151 is 3.

2. What are the Factors of 5145?

Answer: Factors of 5145 are 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 343, 735, 1029, 1715, 5145. There are 16 integers that are factors of 5145. The greatest factor of 5145 is 5145.

3. What are the Factors of 5151?

Answer: Factors of 5151 are 1, 3, 17, 51, 101, 303, 1717, 5151. There are 8 integers that are factors of 5151. The greatest factor of 5151 is 5151.

4. How to Find the GCF of 5145 and 5151?

Answer:

Greatest Common Factor of 5145 and 5151 = 3

Step 1: Find the prime factorization of 5145

5145 = 3 x 5 x 7 x 7 x 7

Step 2: Find the prime factorization of 5151

5151 = 3 x 17 x 101

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 5145 and 5151 is 3