Greatest Common Factor of 15167 and 15174

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 15167, 15174 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15167 and 15174 is 1.

GCF(15167,15174) = 1

GCF of 15167 and 15174

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

GCF of:
and

Greatest Common Factor of 15167 and 15174

GCF of 15167 and 15174 is 1

Prime Factorization of 15167


29 15167
523 523
1

Prime factors of 15167 are 29,523. Prime factorization of 15167 in exponential form is:

15167 = 291×5231

Prime Factorization of 15174


2 15174
3 7587
3 2529
3 843
281 281
1

Prime factors of 15174 are 2,3,281. Prime factorization of 15174 in exponential form is:

15174 = 21×33×2811

∴ So by taking common prime factors GCF of 15167 and 15174 is 1

Greatest Common Factor of 15167 and 15174 by matching factors method

Factors of 15167

List of positive integer factors of 15167 that divides 15167 without a remainder.

1,29,523,15167

Factors of 15174

List of positive integer factors of 15174 that divides 15174 without a remainder.

1,2,3,6,9,18,27,54,281,562,843,1686,2529,5058,7587,15174

Greatest Common Factor

We found the factors and prime factorization of 15167 and 15174. The biggest common factor number is the GCF number.
So the greatest common factor 15167 and 15174 is 1.

Also check out the Least Common Multiple of 15167 and 15174

Properties of GCF 15167 and 15174

(i) The GCF of 15167 and 15174 is associative

GCF of 15167 and 15174 = GCF of 15174 and 15167

Related Greatest Common Factor of 15167

Related Greatest Common Factor of 15174

Frequently Asked Questions on GCF of 15167 and 15174

1. What is the GCF of 15167 and 15174?

Answer: GCF of 15167 and 15174 is 1.

2. What are the Factors of 15167?

Answer: Factors of 15167 are 1, 29, 523, 15167. There are 4 integers that are factors of 15167. The greatest factor of 15167 is 15167.

3. What are the Factors of 15174?

Answer: Factors of 15174 are 1, 2, 3, 6, 9, 18, 27, 54, 281, 562, 843, 1686, 2529, 5058, 7587, 15174. There are 16 integers that are factors of 15174. The greatest factor of 15174 is 15174.

4. How to Find the GCF of 15167 and 15174?

Answer:

Greatest Common Factor of 15167 and 15174 = 1

Step 1: Find the prime factorization of 15167

15167 = 29 x 523

Step 2: Find the prime factorization of 15174

15174 = 2 x 3 x 3 x 3 x 281

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 15167 and 15174 is 1