Greatest Common Factor of 13174 and 13176

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 13174, 13176 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13174 and 13176 is 2.

GCF(13174,13176) = 2

GCF of 13174 and 13176

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

GCF of:
and

Greatest Common Factor of 13174 and 13176

GCF of 13174 and 13176 is 2

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

Prime Factorization of 13176


2 13176
2 6588
2 3294
3 1647
3 549
3 183
61 61
1

Prime factors of 13176 are 2,3,61. Prime factorization of 13176 in exponential form is:

13176 = 23×33×611

∴ So by taking common prime factors GCF of 13174 and 13176 is 2

Greatest Common Factor of 13174 and 13176 by matching factors method

Factors of 13174

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

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

Factors of 13176

List of positive integer factors of 13176 that divides 13176 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,61,72,108,122,183,216,244,366,488,549,732,1098,1464,1647,2196,3294,4392,6588,13176

Greatest Common Factor

We found the factors and prime factorization of 13174 and 13176. The biggest common factor number is the GCF number.
So the greatest common factor 13174 and 13176 is 2.

Also check out the Least Common Multiple of 13174 and 13176

Properties of GCF 13174 and 13176

(i) The GCF of 13174 and 13176 is associative

GCF of 13174 and 13176 = GCF of 13176 and 13174

Related Greatest Common Factor of 13174

Related Greatest Common Factor of 13176

Frequently Asked Questions on GCF of 13174 and 13176

1. What is the GCF of 13174 and 13176?

Answer: GCF of 13174 and 13176 is 2.

2. 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.

3. What are the Factors of 13176?

Answer: Factors of 13176 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 61, 72, 108, 122, 183, 216, 244, 366, 488, 549, 732, 1098, 1464, 1647, 2196, 3294, 4392, 6588, 13176. There are 32 integers that are factors of 13176. The greatest factor of 13176 is 13176.

4. How to Find the GCF of 13174 and 13176?

Answer:

Greatest Common Factor of 13174 and 13176 = 2

Step 1: Find the prime factorization of 13174

13174 = 2 x 7 x 941

Step 2: Find the prime factorization of 13176

13176 = 2 x 2 x 2 x 3 x 3 x 3 x 61

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 13174 and 13176 is 2