Greatest Common Factor of 5166 and 5172

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 5166, 5172 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5166 and 5172 is 6.

GCF(5166,5172) = 6

GCF of 5166 and 5172

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

GCF of:
and

Greatest Common Factor of 5166 and 5172

GCF of 5166 and 5172 is 6

Prime Factorization of 5166


2 5166
3 2583
3 861
7 287
41 41
1

Prime factors of 5166 are 2,3,7,41. Prime factorization of 5166 in exponential form is:

5166 = 21×32×71×411

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

∴ So by taking common prime factors GCF of 5166 and 5172 is 6

Greatest Common Factor of 5166 and 5172 by matching factors method

Factors of 5166

List of positive integer factors of 5166 that divides 5166 without a remainder.

1,2,3,6,7,9,14,18,21,41,42,63,82,123,126,246,287,369,574,738,861,1722,2583,5166

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

Greatest Common Factor

We found the factors and prime factorization of 5166 and 5172. The biggest common factor number is the GCF number.
So the greatest common factor 5166 and 5172 is 6.

Also check out the Least Common Multiple of 5166 and 5172

Properties of GCF 5166 and 5172

(i) The GCF of 5166 and 5172 is associative

GCF of 5166 and 5172 = GCF of 5172 and 5166

Related Greatest Common Factor of 5166

Related Greatest Common Factor of 5172

Frequently Asked Questions on GCF of 5166 and 5172

1. What is the GCF of 5166 and 5172?

Answer: GCF of 5166 and 5172 is 6.

2. What are the Factors of 5166?

Answer: Factors of 5166 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 41, 42, 63, 82, 123, 126, 246, 287, 369, 574, 738, 861, 1722, 2583, 5166. There are 24 integers that are factors of 5166. The greatest factor of 5166 is 5166.

3. 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.

4. How to Find the GCF of 5166 and 5172?

Answer:

Greatest Common Factor of 5166 and 5172 = 6

Step 1: Find the prime factorization of 5166

5166 = 2 x 3 x 3 x 7 x 41

Step 2: Find the prime factorization of 5172

5172 = 2 x 2 x 3 x 431

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 5166 and 5172 is 6