Greatest Common Factor of 34245 and 34249

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 34245, 34249 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 34245 and 34249 is 1.

GCF(34245,34249) = 1

GCF of 34245 and 34249

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

GCF of:
and

Greatest Common Factor of 34245 and 34249

GCF of 34245 and 34249 is 1

Prime Factorization of 34245


3 34245
3 11415
5 3805
761 761
1

Prime factors of 34245 are 3,5,761. Prime factorization of 34245 in exponential form is:

34245 = 32×51×7611

Prime Factorization of 34249


29 34249
1181 1181
1

Prime factors of 34249 are 29,1181. Prime factorization of 34249 in exponential form is:

34249 = 291×11811

∴ So by taking common prime factors GCF of 34245 and 34249 is 1

Greatest Common Factor of 34245 and 34249 by matching factors method

Factors of 34245

List of positive integer factors of 34245 that divides 34245 without a remainder.

1,3,5,9,15,45,761,2283,3805,6849,11415,34245

Factors of 34249

List of positive integer factors of 34249 that divides 34249 without a remainder.

1,29,1181,34249

Greatest Common Factor

We found the factors and prime factorization of 34245 and 34249. The biggest common factor number is the GCF number.
So the greatest common factor 34245 and 34249 is 1.

Also check out the Least Common Multiple of 34245 and 34249

Properties of GCF 34245 and 34249

(i) The GCF of 34245 and 34249 is associative

GCF of 34245 and 34249 = GCF of 34249 and 34245

Related Greatest Common Factor of 34245

Related Greatest Common Factor of 34249

Frequently Asked Questions on GCF of 34245 and 34249

1. What is the GCF of 34245 and 34249?

Answer: GCF of 34245 and 34249 is 1.

2. What are the Factors of 34245?

Answer: Factors of 34245 are 1, 3, 5, 9, 15, 45, 761, 2283, 3805, 6849, 11415, 34245. There are 12 integers that are factors of 34245. The greatest factor of 34245 is 34245.

3. What are the Factors of 34249?

Answer: Factors of 34249 are 1, 29, 1181, 34249. There are 4 integers that are factors of 34249. The greatest factor of 34249 is 34249.

4. How to Find the GCF of 34245 and 34249?

Answer:

Greatest Common Factor of 34245 and 34249 = 1

Step 1: Find the prime factorization of 34245

34245 = 3 x 3 x 5 x 761

Step 2: Find the prime factorization of 34249

34249 = 29 x 1181

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 34245 and 34249 is 1