Greatest Common Factor of 10233 and 10236

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 10233, 10236 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10233 and 10236 is 3.

GCF(10233,10236) = 3

GCF of 10233 and 10236

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

GCF of:
and

Greatest Common Factor of 10233 and 10236

GCF of 10233 and 10236 is 3

Prime Factorization of 10233


3 10233
3 3411
3 1137
379 379
1

Prime factors of 10233 are 3,379. Prime factorization of 10233 in exponential form is:

10233 = 33×3791

Prime Factorization of 10236


2 10236
2 5118
3 2559
853 853
1

Prime factors of 10236 are 2,3,853. Prime factorization of 10236 in exponential form is:

10236 = 22×31×8531

∴ So by taking common prime factors GCF of 10233 and 10236 is 3

Greatest Common Factor of 10233 and 10236 by matching factors method

Factors of 10233

List of positive integer factors of 10233 that divides 10233 without a remainder.

1,3,9,27,379,1137,3411,10233

Factors of 10236

List of positive integer factors of 10236 that divides 10236 without a remainder.

1,2,3,4,6,12,853,1706,2559,3412,5118,10236

Greatest Common Factor

We found the factors and prime factorization of 10233 and 10236. The biggest common factor number is the GCF number.
So the greatest common factor 10233 and 10236 is 3.

Also check out the Least Common Multiple of 10233 and 10236

Properties of GCF 10233 and 10236

(i) The GCF of 10233 and 10236 is associative

GCF of 10233 and 10236 = GCF of 10236 and 10233

Related Greatest Common Factor of 10233

Related Greatest Common Factor of 10236

Frequently Asked Questions on GCF of 10233 and 10236

1. What is the GCF of 10233 and 10236?

Answer: GCF of 10233 and 10236 is 3.

2. What are the Factors of 10233?

Answer: Factors of 10233 are 1, 3, 9, 27, 379, 1137, 3411, 10233. There are 8 integers that are factors of 10233. The greatest factor of 10233 is 10233.

3. What are the Factors of 10236?

Answer: Factors of 10236 are 1, 2, 3, 4, 6, 12, 853, 1706, 2559, 3412, 5118, 10236. There are 12 integers that are factors of 10236. The greatest factor of 10236 is 10236.

4. How to Find the GCF of 10233 and 10236?

Answer:

Greatest Common Factor of 10233 and 10236 = 3

Step 1: Find the prime factorization of 10233

10233 = 3 x 3 x 3 x 379

Step 2: Find the prime factorization of 10236

10236 = 2 x 2 x 3 x 853

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

GCF = 3

Step 4: Therefore, the greatest common factor of 10233 and 10236 is 3