Greatest Common Factor of 14210 and 14214

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 14210, 14214 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 14210 and 14214 is 2.

GCF(14210,14214) = 2

GCF of 14210 and 14214

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

GCF of:
and

Greatest Common Factor of 14210 and 14214

GCF of 14210 and 14214 is 2

Prime Factorization of 14210


2 14210
5 7105
7 1421
7 203
29 29
1

Prime factors of 14210 are 2,5,7,29. Prime factorization of 14210 in exponential form is:

14210 = 21×51×72×291

Prime Factorization of 14214


2 14214
3 7107
23 2369
103 103
1

Prime factors of 14214 are 2,3,23,103. Prime factorization of 14214 in exponential form is:

14214 = 21×31×231×1031

∴ So by taking common prime factors GCF of 14210 and 14214 is 2

Greatest Common Factor of 14210 and 14214 by matching factors method

Factors of 14210

List of positive integer factors of 14210 that divides 14210 without a remainder.

1,2,5,7,10,14,29,35,49,58,70,98,145,203,245,290,406,490,1015,1421,2030,2842,7105,14210

Factors of 14214

List of positive integer factors of 14214 that divides 14214 without a remainder.

1,2,3,6,23,46,69,103,138,206,309,618,2369,4738,7107,14214

Greatest Common Factor

We found the factors and prime factorization of 14210 and 14214. The biggest common factor number is the GCF number.
So the greatest common factor 14210 and 14214 is 2.

Also check out the Least Common Multiple of 14210 and 14214

Properties of GCF 14210 and 14214

(i) The GCF of 14210 and 14214 is associative

GCF of 14210 and 14214 = GCF of 14214 and 14210

Related Greatest Common Factor of 14210

Related Greatest Common Factor of 14214

Frequently Asked Questions on GCF of 14210 and 14214

1. What is the GCF of 14210 and 14214?

Answer: GCF of 14210 and 14214 is 2.

2. What are the Factors of 14210?

Answer: Factors of 14210 are 1, 2, 5, 7, 10, 14, 29, 35, 49, 58, 70, 98, 145, 203, 245, 290, 406, 490, 1015, 1421, 2030, 2842, 7105, 14210. There are 24 integers that are factors of 14210. The greatest factor of 14210 is 14210.

3. What are the Factors of 14214?

Answer: Factors of 14214 are 1, 2, 3, 6, 23, 46, 69, 103, 138, 206, 309, 618, 2369, 4738, 7107, 14214. There are 16 integers that are factors of 14214. The greatest factor of 14214 is 14214.

4. How to Find the GCF of 14210 and 14214?

Answer:

Greatest Common Factor of 14210 and 14214 = 2

Step 1: Find the prime factorization of 14210

14210 = 2 x 5 x 7 x 7 x 29

Step 2: Find the prime factorization of 14214

14214 = 2 x 3 x 23 x 103

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 14210 and 14214 is 2