Greatest Common Factor of 34202 and 34204

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 34202, 34204 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 34202 and 34204 is 2.

GCF(34202,34204) = 2

GCF of 34202 and 34204

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

GCF of:
and

Greatest Common Factor of 34202 and 34204

GCF of 34202 and 34204 is 2

Prime Factorization of 34202


2 34202
7 17101
7 2443
349 349
1

Prime factors of 34202 are 2,7,349. Prime factorization of 34202 in exponential form is:

34202 = 21×72×3491

Prime Factorization of 34204


2 34204
2 17102
17 8551
503 503
1

Prime factors of 34204 are 2,17,503. Prime factorization of 34204 in exponential form is:

34204 = 22×171×5031

∴ So by taking common prime factors GCF of 34202 and 34204 is 2

Greatest Common Factor of 34202 and 34204 by matching factors method

Factors of 34202

List of positive integer factors of 34202 that divides 34202 without a remainder.

1,2,7,14,49,98,349,698,2443,4886,17101,34202

Factors of 34204

List of positive integer factors of 34204 that divides 34204 without a remainder.

1,2,4,17,34,68,503,1006,2012,8551,17102,34204

Greatest Common Factor

We found the factors and prime factorization of 34202 and 34204. The biggest common factor number is the GCF number.
So the greatest common factor 34202 and 34204 is 2.

Also check out the Least Common Multiple of 34202 and 34204

Properties of GCF 34202 and 34204

(i) The GCF of 34202 and 34204 is associative

GCF of 34202 and 34204 = GCF of 34204 and 34202

Related Greatest Common Factor of 34202

Related Greatest Common Factor of 34204

Frequently Asked Questions on GCF of 34202 and 34204

1. What is the GCF of 34202 and 34204?

Answer: GCF of 34202 and 34204 is 2.

2. What are the Factors of 34202?

Answer: Factors of 34202 are 1, 2, 7, 14, 49, 98, 349, 698, 2443, 4886, 17101, 34202. There are 12 integers that are factors of 34202. The greatest factor of 34202 is 34202.

3. What are the Factors of 34204?

Answer: Factors of 34204 are 1, 2, 4, 17, 34, 68, 503, 1006, 2012, 8551, 17102, 34204. There are 12 integers that are factors of 34204. The greatest factor of 34204 is 34204.

4. How to Find the GCF of 34202 and 34204?

Answer:

Greatest Common Factor of 34202 and 34204 = 2

Step 1: Find the prime factorization of 34202

34202 = 2 x 7 x 7 x 349

Step 2: Find the prime factorization of 34204

34204 = 2 x 2 x 17 x 503

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 34202 and 34204 is 2