Greatest Common Factor of 14200 and 14205

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 14200, 14205 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 14200 and 14205 is 5.

GCF(14200,14205) = 5

GCF of 14200 and 14205

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

GCF of:
and

Greatest Common Factor of 14200 and 14205

GCF of 14200 and 14205 is 5

Prime Factorization of 14200


2 14200
2 7100
2 3550
5 1775
5 355
71 71
1

Prime factors of 14200 are 2,5,71. Prime factorization of 14200 in exponential form is:

14200 = 23×52×711

Prime Factorization of 14205


3 14205
5 4735
947 947
1

Prime factors of 14205 are 3,5,947. Prime factorization of 14205 in exponential form is:

14205 = 31×51×9471

∴ So by taking common prime factors GCF of 14200 and 14205 is 5

Greatest Common Factor of 14200 and 14205 by matching factors method

Factors of 14200

List of positive integer factors of 14200 that divides 14200 without a remainder.

1,2,4,5,8,10,20,25,40,50,71,100,142,200,284,355,568,710,1420,1775,2840,3550,7100,14200

Factors of 14205

List of positive integer factors of 14205 that divides 14205 without a remainder.

1,3,5,15,947,2841,4735,14205

Greatest Common Factor

We found the factors and prime factorization of 14200 and 14205. The biggest common factor number is the GCF number.
So the greatest common factor 14200 and 14205 is 5.

Also check out the Least Common Multiple of 14200 and 14205

Properties of GCF 14200 and 14205

(i) The GCF of 14200 and 14205 is associative

GCF of 14200 and 14205 = GCF of 14205 and 14200

Related Greatest Common Factor of 14200

Related Greatest Common Factor of 14205

Frequently Asked Questions on GCF of 14200 and 14205

1. What is the GCF of 14200 and 14205?

Answer: GCF of 14200 and 14205 is 5.

2. What are the Factors of 14200?

Answer: Factors of 14200 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 71, 100, 142, 200, 284, 355, 568, 710, 1420, 1775, 2840, 3550, 7100, 14200. There are 24 integers that are factors of 14200. The greatest factor of 14200 is 14200.

3. What are the Factors of 14205?

Answer: Factors of 14205 are 1, 3, 5, 15, 947, 2841, 4735, 14205. There are 8 integers that are factors of 14205. The greatest factor of 14205 is 14205.

4. How to Find the GCF of 14200 and 14205?

Answer:

Greatest Common Factor of 14200 and 14205 = 5

Step 1: Find the prime factorization of 14200

14200 = 2 x 2 x 2 x 5 x 5 x 71

Step 2: Find the prime factorization of 14205

14205 = 3 x 5 x 947

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 14200 and 14205 is 5