Greatest Common Factor of 14450 and 14454

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, 14454 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 14450 and 14454 is 2.

GCF(14450,14454) = 2

GCF of 14450 and 14454

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

GCF of:
and

Greatest Common Factor of 14450 and 14454

GCF of 14450 and 14454 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 14454


2 14454
3 7227
3 2409
11 803
73 73
1

Prime factors of 14454 are 2,3,11,73. Prime factorization of 14454 in exponential form is:

14454 = 21×32×111×731

∴ So by taking common prime factors GCF of 14450 and 14454 is 2

Greatest Common Factor of 14450 and 14454 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 14454

List of positive integer factors of 14454 that divides 14454 without a remainder.

1,2,3,6,9,11,18,22,33,66,73,99,146,198,219,438,657,803,1314,1606,2409,4818,7227,14454

Greatest Common Factor

We found the factors and prime factorization of 14450 and 14454. The biggest common factor number is the GCF number.
So the greatest common factor 14450 and 14454 is 2.

Also check out the Least Common Multiple of 14450 and 14454

Properties of GCF 14450 and 14454

(i) The GCF of 14450 and 14454 is associative

GCF of 14450 and 14454 = GCF of 14454 and 14450

Related Greatest Common Factor of 14450

Related Greatest Common Factor of 14454

Frequently Asked Questions on GCF of 14450 and 14454

1. What is the GCF of 14450 and 14454?

Answer: GCF of 14450 and 14454 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 14454?

Answer: Factors of 14454 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 73, 99, 146, 198, 219, 438, 657, 803, 1314, 1606, 2409, 4818, 7227, 14454. There are 24 integers that are factors of 14454. The greatest factor of 14454 is 14454.

4. How to Find the GCF of 14450 and 14454?

Answer:

Greatest Common Factor of 14450 and 14454 = 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 14454

14454 = 2 x 3 x 3 x 11 x 73

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 14454 is 2