Greatest Common Factor of 5172 and 5175

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 5172, 5175 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5172 and 5175 is 3.

GCF(5172,5175) = 3

GCF of 5172 and 5175

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

GCF of:
and

Greatest Common Factor of 5172 and 5175

GCF of 5172 and 5175 is 3

Prime Factorization of 5172


2 5172
2 2586
3 1293
431 431
1

Prime factors of 5172 are 2,3,431. Prime factorization of 5172 in exponential form is:

5172 = 22×31×4311

Prime Factorization of 5175


3 5175
3 1725
5 575
5 115
23 23
1

Prime factors of 5175 are 3,5,23. Prime factorization of 5175 in exponential form is:

5175 = 32×52×231

∴ So by taking common prime factors GCF of 5172 and 5175 is 3

Greatest Common Factor of 5172 and 5175 by matching factors method

Factors of 5172

List of positive integer factors of 5172 that divides 5172 without a remainder.

1,2,3,4,6,12,431,862,1293,1724,2586,5172

Factors of 5175

List of positive integer factors of 5175 that divides 5175 without a remainder.

1,3,5,9,15,23,25,45,69,75,115,207,225,345,575,1035,1725,5175

Greatest Common Factor

We found the factors and prime factorization of 5172 and 5175. The biggest common factor number is the GCF number.
So the greatest common factor 5172 and 5175 is 3.

Also check out the Least Common Multiple of 5172 and 5175

Properties of GCF 5172 and 5175

(i) The GCF of 5172 and 5175 is associative

GCF of 5172 and 5175 = GCF of 5175 and 5172

Related Greatest Common Factor of 5172

Related Greatest Common Factor of 5175

Frequently Asked Questions on GCF of 5172 and 5175

1. What is the GCF of 5172 and 5175?

Answer: GCF of 5172 and 5175 is 3.

2. What are the Factors of 5172?

Answer: Factors of 5172 are 1, 2, 3, 4, 6, 12, 431, 862, 1293, 1724, 2586, 5172. There are 12 integers that are factors of 5172. The greatest factor of 5172 is 5172.

3. What are the Factors of 5175?

Answer: Factors of 5175 are 1, 3, 5, 9, 15, 23, 25, 45, 69, 75, 115, 207, 225, 345, 575, 1035, 1725, 5175. There are 18 integers that are factors of 5175. The greatest factor of 5175 is 5175.

4. How to Find the GCF of 5172 and 5175?

Answer:

Greatest Common Factor of 5172 and 5175 = 3

Step 1: Find the prime factorization of 5172

5172 = 2 x 2 x 3 x 431

Step 2: Find the prime factorization of 5175

5175 = 3 x 3 x 5 x 5 x 23

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 5172 and 5175 is 3