Greatest Common Factor of 36305 and 36309

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 36305, 36309 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 36305 and 36309 is 1.

GCF(36305,36309) = 1

GCF of 36305 and 36309

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

GCF of:
and

Greatest Common Factor of 36305 and 36309

GCF of 36305 and 36309 is 1

Prime Factorization of 36305


5 36305
53 7261
137 137
1

Prime factors of 36305 are 5,53,137. Prime factorization of 36305 in exponential form is:

36305 = 51×531×1371

Prime Factorization of 36309


3 36309
7 12103
7 1729
13 247
19 19
1

Prime factors of 36309 are 3,7,13,19. Prime factorization of 36309 in exponential form is:

36309 = 31×72×131×191

∴ So by taking common prime factors GCF of 36305 and 36309 is 1

Greatest Common Factor of 36305 and 36309 by matching factors method

Factors of 36305

List of positive integer factors of 36305 that divides 36305 without a remainder.

1,5,53,137,265,685,7261,36305

Factors of 36309

List of positive integer factors of 36309 that divides 36309 without a remainder.

1,3,7,13,19,21,39,49,57,91,133,147,247,273,399,637,741,931,1729,1911,2793,5187,12103,36309

Greatest Common Factor

We found the factors and prime factorization of 36305 and 36309. The biggest common factor number is the GCF number.
So the greatest common factor 36305 and 36309 is 1.

Also check out the Least Common Multiple of 36305 and 36309

Properties of GCF 36305 and 36309

(i) The GCF of 36305 and 36309 is associative

GCF of 36305 and 36309 = GCF of 36309 and 36305

Related Greatest Common Factor of 36305

Related Greatest Common Factor of 36309

Frequently Asked Questions on GCF of 36305 and 36309

1. What is the GCF of 36305 and 36309?

Answer: GCF of 36305 and 36309 is 1.

2. What are the Factors of 36305?

Answer: Factors of 36305 are 1, 5, 53, 137, 265, 685, 7261, 36305. There are 8 integers that are factors of 36305. The greatest factor of 36305 is 36305.

3. What are the Factors of 36309?

Answer: Factors of 36309 are 1, 3, 7, 13, 19, 21, 39, 49, 57, 91, 133, 147, 247, 273, 399, 637, 741, 931, 1729, 1911, 2793, 5187, 12103, 36309. There are 24 integers that are factors of 36309. The greatest factor of 36309 is 36309.

4. How to Find the GCF of 36305 and 36309?

Answer:

Greatest Common Factor of 36305 and 36309 = 1

Step 1: Find the prime factorization of 36305

36305 = 5 x 53 x 137

Step 2: Find the prime factorization of 36309

36309 = 3 x 7 x 7 x 13 x 19

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 36305 and 36309 is 1