Greatest Common Factor of 14450 and 14452

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 14450, 14452 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 14450 and 14452 is 2.

GCF(14450,14452) = 2

GCF of 14450 and 14452

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

GCF of:
and

Greatest Common Factor of 14450 and 14452

GCF of 14450 and 14452 is 2

Prime Factorization of 14450


2 14450
5 7225
5 1445
17 289
17 17
1

Prime factors of 14450 are 2,5,17. Prime factorization of 14450 in exponential form is:

14450 = 21×52×172

Prime Factorization of 14452


2 14452
2 7226
3613 3613
1

Prime factors of 14452 are 2,3613. Prime factorization of 14452 in exponential form is:

14452 = 22×36131

∴ So by taking common prime factors GCF of 14450 and 14452 is 2

Greatest Common Factor of 14450 and 14452 by matching factors method

Factors of 14450

List of positive integer factors of 14450 that divides 14450 without a remainder.

1,2,5,10,17,25,34,50,85,170,289,425,578,850,1445,2890,7225,14450

Factors of 14452

List of positive integer factors of 14452 that divides 14452 without a remainder.

1,2,4,3613,7226,14452

Greatest Common Factor

We found the factors and prime factorization of 14450 and 14452. The biggest common factor number is the GCF number.
So the greatest common factor 14450 and 14452 is 2.

Also check out the Least Common Multiple of 14450 and 14452

Properties of GCF 14450 and 14452

(i) The GCF of 14450 and 14452 is associative

GCF of 14450 and 14452 = GCF of 14452 and 14450

Related Greatest Common Factor of 14450

Related Greatest Common Factor of 14452

Frequently Asked Questions on GCF of 14450 and 14452

1. What is the GCF of 14450 and 14452?

Answer: GCF of 14450 and 14452 is 2.

2. What are the Factors of 14450?

Answer: Factors of 14450 are 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 289, 425, 578, 850, 1445, 2890, 7225, 14450. There are 18 integers that are factors of 14450. The greatest factor of 14450 is 14450.

3. What are the Factors of 14452?

Answer: Factors of 14452 are 1, 2, 4, 3613, 7226, 14452. There are 6 integers that are factors of 14452. The greatest factor of 14452 is 14452.

4. How to Find the GCF of 14450 and 14452?

Answer:

Greatest Common Factor of 14450 and 14452 = 2

Step 1: Find the prime factorization of 14450

14450 = 2 x 5 x 5 x 17 x 17

Step 2: Find the prime factorization of 14452

14452 = 2 x 2 x 3613

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 14450 and 14452 is 2