Greatest Common Factor of 12172 and 12177

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 12172, 12177 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 12172 and 12177 is 1.

GCF(12172,12177) = 1

GCF of 12172 and 12177

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

GCF of:
and

Greatest Common Factor of 12172 and 12177

GCF of 12172 and 12177 is 1

Prime Factorization of 12172


2 12172
2 6086
17 3043
179 179
1

Prime factors of 12172 are 2,17,179. Prime factorization of 12172 in exponential form is:

12172 = 22×171×1791

Prime Factorization of 12177


3 12177
3 4059
3 1353
11 451
41 41
1

Prime factors of 12177 are 3,11,41. Prime factorization of 12177 in exponential form is:

12177 = 33×111×411

∴ So by taking common prime factors GCF of 12172 and 12177 is 1

Greatest Common Factor of 12172 and 12177 by matching factors method

Factors of 12172

List of positive integer factors of 12172 that divides 12172 without a remainder.

1,2,4,17,34,68,179,358,716,3043,6086,12172

Factors of 12177

List of positive integer factors of 12177 that divides 12177 without a remainder.

1,3,9,11,27,33,41,99,123,297,369,451,1107,1353,4059,12177

Greatest Common Factor

We found the factors and prime factorization of 12172 and 12177. The biggest common factor number is the GCF number.
So the greatest common factor 12172 and 12177 is 1.

Also check out the Least Common Multiple of 12172 and 12177

Properties of GCF 12172 and 12177

(i) The GCF of 12172 and 12177 is associative

GCF of 12172 and 12177 = GCF of 12177 and 12172

Related Greatest Common Factor of 12172

Related Greatest Common Factor of 12177

Frequently Asked Questions on GCF of 12172 and 12177

1. What is the GCF of 12172 and 12177?

Answer: GCF of 12172 and 12177 is 1.

2. What are the Factors of 12172?

Answer: Factors of 12172 are 1, 2, 4, 17, 34, 68, 179, 358, 716, 3043, 6086, 12172. There are 12 integers that are factors of 12172. The greatest factor of 12172 is 12172.

3. What are the Factors of 12177?

Answer: Factors of 12177 are 1, 3, 9, 11, 27, 33, 41, 99, 123, 297, 369, 451, 1107, 1353, 4059, 12177. There are 16 integers that are factors of 12177. The greatest factor of 12177 is 12177.

4. How to Find the GCF of 12172 and 12177?

Answer:

Greatest Common Factor of 12172 and 12177 = 1

Step 1: Find the prime factorization of 12172

12172 = 2 x 2 x 17 x 179

Step 2: Find the prime factorization of 12177

12177 = 3 x 3 x 3 x 11 x 41

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 12172 and 12177 is 1