Greatest Common Factor of 13172 and 13174

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 13172, 13174 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13172 and 13174 is 2.

GCF(13172,13174) = 2

GCF of 13172 and 13174

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

GCF of:
and

Greatest Common Factor of 13172 and 13174

GCF of 13172 and 13174 is 2

Prime Factorization of 13172


2 13172
2 6586
37 3293
89 89
1

Prime factors of 13172 are 2,37,89. Prime factorization of 13172 in exponential form is:

13172 = 22×371×891

Prime Factorization of 13174


2 13174
7 6587
941 941
1

Prime factors of 13174 are 2,7,941. Prime factorization of 13174 in exponential form is:

13174 = 21×71×9411

∴ So by taking common prime factors GCF of 13172 and 13174 is 2

Greatest Common Factor of 13172 and 13174 by matching factors method

Factors of 13172

List of positive integer factors of 13172 that divides 13172 without a remainder.

1,2,4,37,74,89,148,178,356,3293,6586,13172

Factors of 13174

List of positive integer factors of 13174 that divides 13174 without a remainder.

1,2,7,14,941,1882,6587,13174

Greatest Common Factor

We found the factors and prime factorization of 13172 and 13174. The biggest common factor number is the GCF number.
So the greatest common factor 13172 and 13174 is 2.

Also check out the Least Common Multiple of 13172 and 13174

Properties of GCF 13172 and 13174

(i) The GCF of 13172 and 13174 is associative

GCF of 13172 and 13174 = GCF of 13174 and 13172

Related Greatest Common Factor of 13172

Related Greatest Common Factor of 13174

Frequently Asked Questions on GCF of 13172 and 13174

1. What is the GCF of 13172 and 13174?

Answer: GCF of 13172 and 13174 is 2.

2. What are the Factors of 13172?

Answer: Factors of 13172 are 1, 2, 4, 37, 74, 89, 148, 178, 356, 3293, 6586, 13172. There are 12 integers that are factors of 13172. The greatest factor of 13172 is 13172.

3. What are the Factors of 13174?

Answer: Factors of 13174 are 1, 2, 7, 14, 941, 1882, 6587, 13174. There are 8 integers that are factors of 13174. The greatest factor of 13174 is 13174.

4. How to Find the GCF of 13172 and 13174?

Answer:

Greatest Common Factor of 13172 and 13174 = 2

Step 1: Find the prime factorization of 13172

13172 = 2 x 2 x 37 x 89

Step 2: Find the prime factorization of 13174

13174 = 2 x 7 x 941

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

GCF = 2

Step 4: Therefore, the greatest common factor of 13172 and 13174 is 2