Greatest Common Factor of 14204 and 14208

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 14204, 14208 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 14204 and 14208 is 4.

GCF(14204,14208) = 4

GCF of 14204 and 14208

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

GCF of:
and

Greatest Common Factor of 14204 and 14208

GCF of 14204 and 14208 is 4

Prime Factorization of 14204


2 14204
2 7102
53 3551
67 67
1

Prime factors of 14204 are 2,53,67. Prime factorization of 14204 in exponential form is:

14204 = 22×531×671

Prime Factorization of 14208


2 14208
2 7104
2 3552
2 1776
2 888
2 444
2 222
3 111
37 37
1

Prime factors of 14208 are 2,3,37. Prime factorization of 14208 in exponential form is:

14208 = 27×31×371

∴ So by taking common prime factors GCF of 14204 and 14208 is 4

Greatest Common Factor of 14204 and 14208 by matching factors method

Factors of 14204

List of positive integer factors of 14204 that divides 14204 without a remainder.

1,2,4,53,67,106,134,212,268,3551,7102,14204

Factors of 14208

List of positive integer factors of 14208 that divides 14208 without a remainder.

1,2,3,4,6,8,12,16,24,32,37,48,64,74,96,111,128,148,192,222,296,384,444,592,888,1184,1776,2368,3552,4736,7104,14208

Greatest Common Factor

We found the factors and prime factorization of 14204 and 14208. The biggest common factor number is the GCF number.
So the greatest common factor 14204 and 14208 is 4.

Also check out the Least Common Multiple of 14204 and 14208

Properties of GCF 14204 and 14208

(i) The GCF of 14204 and 14208 is associative

GCF of 14204 and 14208 = GCF of 14208 and 14204

Related Greatest Common Factor of 14204

Related Greatest Common Factor of 14208

Frequently Asked Questions on GCF of 14204 and 14208

1. What is the GCF of 14204 and 14208?

Answer: GCF of 14204 and 14208 is 4.

2. What are the Factors of 14204?

Answer: Factors of 14204 are 1, 2, 4, 53, 67, 106, 134, 212, 268, 3551, 7102, 14204. There are 12 integers that are factors of 14204. The greatest factor of 14204 is 14204.

3. What are the Factors of 14208?

Answer: Factors of 14208 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 37, 48, 64, 74, 96, 111, 128, 148, 192, 222, 296, 384, 444, 592, 888, 1184, 1776, 2368, 3552, 4736, 7104, 14208. There are 32 integers that are factors of 14208. The greatest factor of 14208 is 14208.

4. How to Find the GCF of 14204 and 14208?

Answer:

Greatest Common Factor of 14204 and 14208 = 4

Step 1: Find the prime factorization of 14204

14204 = 2 x 2 x 53 x 67

Step 2: Find the prime factorization of 14208

14208 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 37

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 14204 and 14208 is 4