Greatest Common Factor of 13446 and 13450

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 13446, 13450 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13446 and 13450 is 2.

GCF(13446,13450) = 2

GCF of 13446 and 13450

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

GCF of:
and

Greatest Common Factor of 13446 and 13450

GCF of 13446 and 13450 is 2

Prime Factorization of 13446


2 13446
3 6723
3 2241
3 747
3 249
83 83
1

Prime factors of 13446 are 2,3,83. Prime factorization of 13446 in exponential form is:

13446 = 21×34×831

Prime Factorization of 13450


2 13450
5 6725
5 1345
269 269
1

Prime factors of 13450 are 2,5,269. Prime factorization of 13450 in exponential form is:

13450 = 21×52×2691

∴ So by taking common prime factors GCF of 13446 and 13450 is 2

Greatest Common Factor of 13446 and 13450 by matching factors method

Factors of 13446

List of positive integer factors of 13446 that divides 13446 without a remainder.

1,2,3,6,9,18,27,54,81,83,162,166,249,498,747,1494,2241,4482,6723,13446

Factors of 13450

List of positive integer factors of 13450 that divides 13450 without a remainder.

1,2,5,10,25,50,269,538,1345,2690,6725,13450

Greatest Common Factor

We found the factors and prime factorization of 13446 and 13450. The biggest common factor number is the GCF number.
So the greatest common factor 13446 and 13450 is 2.

Also check out the Least Common Multiple of 13446 and 13450

Properties of GCF 13446 and 13450

(i) The GCF of 13446 and 13450 is associative

GCF of 13446 and 13450 = GCF of 13450 and 13446

Related Greatest Common Factor of 13446

Related Greatest Common Factor of 13450

Frequently Asked Questions on GCF of 13446 and 13450

1. What is the GCF of 13446 and 13450?

Answer: GCF of 13446 and 13450 is 2.

2. What are the Factors of 13446?

Answer: Factors of 13446 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 83, 162, 166, 249, 498, 747, 1494, 2241, 4482, 6723, 13446. There are 20 integers that are factors of 13446. The greatest factor of 13446 is 13446.

3. What are the Factors of 13450?

Answer: Factors of 13450 are 1, 2, 5, 10, 25, 50, 269, 538, 1345, 2690, 6725, 13450. There are 12 integers that are factors of 13450. The greatest factor of 13450 is 13450.

4. How to Find the GCF of 13446 and 13450?

Answer:

Greatest Common Factor of 13446 and 13450 = 2

Step 1: Find the prime factorization of 13446

13446 = 2 x 3 x 3 x 3 x 3 x 83

Step 2: Find the prime factorization of 13450

13450 = 2 x 5 x 5 x 269

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 13446 and 13450 is 2