Greatest Common Factor of 14450 and 14455

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, 14455 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 14450 and 14455 is 5.

GCF(14450,14455) = 5

GCF of 14450 and 14455

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

GCF of:
and

Greatest Common Factor of 14450 and 14455

GCF of 14450 and 14455 is 5

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 14455


5 14455
7 2891
7 413
59 59
1

Prime factors of 14455 are 5,7,59. Prime factorization of 14455 in exponential form is:

14455 = 51×72×591

∴ So by taking common prime factors GCF of 14450 and 14455 is 5

Greatest Common Factor of 14450 and 14455 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 14455

List of positive integer factors of 14455 that divides 14455 without a remainder.

1,5,7,35,49,59,245,295,413,2065,2891,14455

Greatest Common Factor

We found the factors and prime factorization of 14450 and 14455. The biggest common factor number is the GCF number.
So the greatest common factor 14450 and 14455 is 5.

Also check out the Least Common Multiple of 14450 and 14455

Properties of GCF 14450 and 14455

(i) The GCF of 14450 and 14455 is associative

GCF of 14450 and 14455 = GCF of 14455 and 14450

Related Greatest Common Factor of 14450

Related Greatest Common Factor of 14455

Frequently Asked Questions on GCF of 14450 and 14455

1. What is the GCF of 14450 and 14455?

Answer: GCF of 14450 and 14455 is 5.

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 14455?

Answer: Factors of 14455 are 1, 5, 7, 35, 49, 59, 245, 295, 413, 2065, 2891, 14455. There are 12 integers that are factors of 14455. The greatest factor of 14455 is 14455.

4. How to Find the GCF of 14450 and 14455?

Answer:

Greatest Common Factor of 14450 and 14455 = 5

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 14455

14455 = 5 x 7 x 7 x 59

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 5

Step 4: Therefore, the greatest common factor of 14450 and 14455 is 5