Greatest Common Factor of 36309 and 36314

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 36309, 36314 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 36309 and 36314 is 1.

GCF(36309,36314) = 1

GCF of 36309 and 36314

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

GCF of:
and

Greatest Common Factor of 36309 and 36314

GCF of 36309 and 36314 is 1

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

Prime Factorization of 36314


2 36314
67 18157
271 271
1

Prime factors of 36314 are 2,67,271. Prime factorization of 36314 in exponential form is:

36314 = 21×671×2711

∴ So by taking common prime factors GCF of 36309 and 36314 is 1

Greatest Common Factor of 36309 and 36314 by matching factors method

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

Factors of 36314

List of positive integer factors of 36314 that divides 36314 without a remainder.

1,2,67,134,271,542,18157,36314

Greatest Common Factor

We found the factors and prime factorization of 36309 and 36314. The biggest common factor number is the GCF number.
So the greatest common factor 36309 and 36314 is 1.

Also check out the Least Common Multiple of 36309 and 36314

Properties of GCF 36309 and 36314

(i) The GCF of 36309 and 36314 is associative

GCF of 36309 and 36314 = GCF of 36314 and 36309

Related Greatest Common Factor of 36309

Related Greatest Common Factor of 36314

Frequently Asked Questions on GCF of 36309 and 36314

1. What is the GCF of 36309 and 36314?

Answer: GCF of 36309 and 36314 is 1.

2. 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.

3. What are the Factors of 36314?

Answer: Factors of 36314 are 1, 2, 67, 134, 271, 542, 18157, 36314. There are 8 integers that are factors of 36314. The greatest factor of 36314 is 36314.

4. How to Find the GCF of 36309 and 36314?

Answer:

Greatest Common Factor of 36309 and 36314 = 1

Step 1: Find the prime factorization of 36309

36309 = 3 x 7 x 7 x 13 x 19

Step 2: Find the prime factorization of 36314

36314 = 2 x 67 x 271

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 36309 and 36314 is 1