Greatest Common Factor of 12168 and 12169

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 12168, 12169 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 12168 and 12169 is 1.

GCF(12168,12169) = 1

GCF of 12168 and 12169

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

GCF of:
and

Greatest Common Factor of 12168 and 12169

GCF of 12168 and 12169 is 1

Prime Factorization of 12168


2 12168
2 6084
2 3042
3 1521
3 507
13 169
13 13
1

Prime factors of 12168 are 2,3,13. Prime factorization of 12168 in exponential form is:

12168 = 23×32×132

Prime Factorization of 12169


43 12169
283 283
1

Prime factors of 12169 are 43,283. Prime factorization of 12169 in exponential form is:

12169 = 431×2831

∴ So by taking common prime factors GCF of 12168 and 12169 is 1

Greatest Common Factor of 12168 and 12169 by matching factors method

Factors of 12168

List of positive integer factors of 12168 that divides 12168 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,169,234,312,338,468,507,676,936,1014,1352,1521,2028,3042,4056,6084,12168

Factors of 12169

List of positive integer factors of 12169 that divides 12169 without a remainder.

1,43,283,12169

Greatest Common Factor

We found the factors and prime factorization of 12168 and 12169. The biggest common factor number is the GCF number.
So the greatest common factor 12168 and 12169 is 1.

Also check out the Least Common Multiple of 12168 and 12169

Properties of GCF 12168 and 12169

(i) The GCF of 12168 and 12169 is associative

GCF of 12168 and 12169 = GCF of 12169 and 12168

Related Greatest Common Factor of 12168

Related Greatest Common Factor of 12169

Frequently Asked Questions on GCF of 12168 and 12169

1. What is the GCF of 12168 and 12169?

Answer: GCF of 12168 and 12169 is 1.

2. What are the Factors of 12168?

Answer: Factors of 12168 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 169, 234, 312, 338, 468, 507, 676, 936, 1014, 1352, 1521, 2028, 3042, 4056, 6084, 12168. There are 36 integers that are factors of 12168. The greatest factor of 12168 is 12168.

3. What are the Factors of 12169?

Answer: Factors of 12169 are 1, 43, 283, 12169. There are 4 integers that are factors of 12169. The greatest factor of 12169 is 12169.

4. How to Find the GCF of 12168 and 12169?

Answer:

Greatest Common Factor of 12168 and 12169 = 1

Step 1: Find the prime factorization of 12168

12168 = 2 x 2 x 2 x 3 x 3 x 13 x 13

Step 2: Find the prime factorization of 12169

12169 = 43 x 283

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 12168 and 12169 is 1