Greatest Common Factor of 5167 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 5167, 5172 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5167 and 5172 is 1.

GCF(5167,5172) = 1

GCF of 5167 and 5172

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

GCF of:
and

Greatest Common Factor of 5167 and 5172

GCF of 5167 and 5172 is 1

Prime Factorization of 5167


5167 5167
1

Prime factors of 5167 are 5167. Prime factorization of 5167 in exponential form is:

5167 = 51671

Prime Factorization of 5172


2 5172
2 2586
3 1293
431 431
1

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

5172 = 22×31×4311

∴ So by taking common prime factors GCF of 5167 and 5172 is 1

Greatest Common Factor of 5167 and 5172 by matching factors method

Factors of 5167

List of positive integer factors of 5167 that divides 5167 without a remainder.

1,5167

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 5167 and 5172. The biggest common factor number is the GCF number.
So the greatest common factor 5167 and 5172 is 1.

Also check out the Least Common Multiple of 5167 and 5172

Properties of GCF 5167 and 5172

(i) The GCF of 5167 and 5172 is associative

GCF of 5167 and 5172 = GCF of 5172 and 5167

Related Greatest Common Factor of 5167

Related Greatest Common Factor of 5172

Frequently Asked Questions on GCF of 5167 and 5172

1. What is the GCF of 5167 and 5172?

Answer: GCF of 5167 and 5172 is 1.

2. What are the Factors of 5167?

Answer: Factors of 5167 are 1, 5167. There are 2 integers that are factors of 5167. The greatest factor of 5167 is 5167.

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 5167 and 5172?

Answer:

Greatest Common Factor of 5167 and 5172 = 1

Step 1: Find the prime factorization of 5167

5167 = 5167

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 = = 1

Step 4: Therefore, the greatest common factor of 5167 and 5172 is 1