Greatest Common Factor of 34209 and 34216

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 34209, 34216 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 34209 and 34216 is 7.

GCF(34209,34216) = 7

GCF of 34209 and 34216

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

GCF of:
and

Greatest Common Factor of 34209 and 34216

GCF of 34209 and 34216 is 7

Prime Factorization of 34209


3 34209
3 11403
3 3801
7 1267
181 181
1

Prime factors of 34209 are 3,7,181. Prime factorization of 34209 in exponential form is:

34209 = 33×71×1811

Prime Factorization of 34216


2 34216
2 17108
2 8554
7 4277
13 611
47 47
1

Prime factors of 34216 are 2,7,13,47. Prime factorization of 34216 in exponential form is:

34216 = 23×71×131×471

∴ So by taking common prime factors GCF of 34209 and 34216 is 7

Greatest Common Factor of 34209 and 34216 by matching factors method

Factors of 34209

List of positive integer factors of 34209 that divides 34209 without a remainder.

1,3,7,9,21,27,63,181,189,543,1267,1629,3801,4887,11403,34209

Factors of 34216

List of positive integer factors of 34216 that divides 34216 without a remainder.

1,2,4,7,8,13,14,26,28,47,52,56,91,94,104,182,188,329,364,376,611,658,728,1222,1316,2444,2632,4277,4888,8554,17108,34216

Greatest Common Factor

We found the factors and prime factorization of 34209 and 34216. The biggest common factor number is the GCF number.
So the greatest common factor 34209 and 34216 is 7.

Also check out the Least Common Multiple of 34209 and 34216

Properties of GCF 34209 and 34216

(i) The GCF of 34209 and 34216 is associative

GCF of 34209 and 34216 = GCF of 34216 and 34209

Related Greatest Common Factor of 34209

Related Greatest Common Factor of 34216

Frequently Asked Questions on GCF of 34209 and 34216

1. What is the GCF of 34209 and 34216?

Answer: GCF of 34209 and 34216 is 7.

2. What are the Factors of 34209?

Answer: Factors of 34209 are 1, 3, 7, 9, 21, 27, 63, 181, 189, 543, 1267, 1629, 3801, 4887, 11403, 34209. There are 16 integers that are factors of 34209. The greatest factor of 34209 is 34209.

3. What are the Factors of 34216?

Answer: Factors of 34216 are 1, 2, 4, 7, 8, 13, 14, 26, 28, 47, 52, 56, 91, 94, 104, 182, 188, 329, 364, 376, 611, 658, 728, 1222, 1316, 2444, 2632, 4277, 4888, 8554, 17108, 34216. There are 32 integers that are factors of 34216. The greatest factor of 34216 is 34216.

4. How to Find the GCF of 34209 and 34216?

Answer:

Greatest Common Factor of 34209 and 34216 = 7

Step 1: Find the prime factorization of 34209

34209 = 3 x 3 x 3 x 7 x 181

Step 2: Find the prime factorization of 34216

34216 = 2 x 2 x 2 x 7 x 13 x 47

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

GCF = 7

Step 4: Therefore, the greatest common factor of 34209 and 34216 is 7