Greatest Common Factor of 10361 and 10368

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 10361, 10368 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10361 and 10368 is 1.

GCF(10361,10368) = 1

GCF of 10361 and 10368

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

GCF of:
and

Greatest Common Factor of 10361 and 10368

GCF of 10361 and 10368 is 1

Prime Factorization of 10361


13 10361
797 797
1

Prime factors of 10361 are 13,797. Prime factorization of 10361 in exponential form is:

10361 = 131×7971

Prime Factorization of 10368


2 10368
2 5184
2 2592
2 1296
2 648
2 324
2 162
3 81
3 27
3 9
3 3
1

Prime factors of 10368 are 2,3. Prime factorization of 10368 in exponential form is:

10368 = 27×34

∴ So by taking common prime factors GCF of 10361 and 10368 is 1

Greatest Common Factor of 10361 and 10368 by matching factors method

Factors of 10361

List of positive integer factors of 10361 that divides 10361 without a remainder.

1,13,797,10361

Factors of 10368

List of positive integer factors of 10368 that divides 10368 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,64,72,81,96,108,128,144,162,192,216,288,324,384,432,576,648,864,1152,1296,1728,2592,3456,5184,10368

Greatest Common Factor

We found the factors and prime factorization of 10361 and 10368. The biggest common factor number is the GCF number.
So the greatest common factor 10361 and 10368 is 1.

Also check out the Least Common Multiple of 10361 and 10368

Properties of GCF 10361 and 10368

(i) The GCF of 10361 and 10368 is associative

GCF of 10361 and 10368 = GCF of 10368 and 10361

Related Greatest Common Factor of 10361

Related Greatest Common Factor of 10368

Frequently Asked Questions on GCF of 10361 and 10368

1. What is the GCF of 10361 and 10368?

Answer: GCF of 10361 and 10368 is 1.

2. What are the Factors of 10361?

Answer: Factors of 10361 are 1, 13, 797, 10361. There are 4 integers that are factors of 10361. The greatest factor of 10361 is 10361.

3. What are the Factors of 10368?

Answer: Factors of 10368 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 81, 96, 108, 128, 144, 162, 192, 216, 288, 324, 384, 432, 576, 648, 864, 1152, 1296, 1728, 2592, 3456, 5184, 10368. There are 40 integers that are factors of 10368. The greatest factor of 10368 is 10368.

4. How to Find the GCF of 10361 and 10368?

Answer:

Greatest Common Factor of 10361 and 10368 = 1

Step 1: Find the prime factorization of 10361

10361 = 13 x 797

Step 2: Find the prime factorization of 10368

10368 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3

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 10361 and 10368 is 1