Greatest Common Factor of 10368 and 10372

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 10368, 10372 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10368 and 10372 is 4.

GCF(10368,10372) = 4

GCF of 10368 and 10372

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

GCF of:
and

Greatest Common Factor of 10368 and 10372

GCF of 10368 and 10372 is 4

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

Prime Factorization of 10372


2 10372
2 5186
2593 2593
1

Prime factors of 10372 are 2,2593. Prime factorization of 10372 in exponential form is:

10372 = 22×25931

∴ So by taking common prime factors GCF of 10368 and 10372 is 4

Greatest Common Factor of 10368 and 10372 by matching factors method

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

Factors of 10372

List of positive integer factors of 10372 that divides 10372 without a remainder.

1,2,4,2593,5186,10372

Greatest Common Factor

We found the factors and prime factorization of 10368 and 10372. The biggest common factor number is the GCF number.
So the greatest common factor 10368 and 10372 is 4.

Also check out the Least Common Multiple of 10368 and 10372

Properties of GCF 10368 and 10372

(i) The GCF of 10368 and 10372 is associative

GCF of 10368 and 10372 = GCF of 10372 and 10368

Related Greatest Common Factor of 10368

Related Greatest Common Factor of 10372

Frequently Asked Questions on GCF of 10368 and 10372

1. What is the GCF of 10368 and 10372?

Answer: GCF of 10368 and 10372 is 4.

2. 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.

3. What are the Factors of 10372?

Answer: Factors of 10372 are 1, 2, 4, 2593, 5186, 10372. There are 6 integers that are factors of 10372. The greatest factor of 10372 is 10372.

4. How to Find the GCF of 10368 and 10372?

Answer:

Greatest Common Factor of 10368 and 10372 = 4

Step 1: 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 2: Find the prime factorization of 10372

10372 = 2 x 2 x 2593

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 10368 and 10372 is 4