Greatest Common Factor of 7233 and 7236

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 7233, 7236 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7233 and 7236 is 3.

GCF(7233,7236) = 3

GCF of 7233 and 7236

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

GCF of:
and

Greatest Common Factor of 7233 and 7236

GCF of 7233 and 7236 is 3

Prime Factorization of 7233


3 7233
2411 2411
1

Prime factors of 7233 are 3,2411. Prime factorization of 7233 in exponential form is:

7233 = 31×24111

Prime Factorization of 7236


2 7236
2 3618
3 1809
3 603
3 201
67 67
1

Prime factors of 7236 are 2,3,67. Prime factorization of 7236 in exponential form is:

7236 = 22×33×671

∴ So by taking common prime factors GCF of 7233 and 7236 is 3

Greatest Common Factor of 7233 and 7236 by matching factors method

Factors of 7233

List of positive integer factors of 7233 that divides 7233 without a remainder.

1,3,2411,7233

Factors of 7236

List of positive integer factors of 7236 that divides 7236 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,67,108,134,201,268,402,603,804,1206,1809,2412,3618,7236

Greatest Common Factor

We found the factors and prime factorization of 7233 and 7236. The biggest common factor number is the GCF number.
So the greatest common factor 7233 and 7236 is 3.

Also check out the Least Common Multiple of 7233 and 7236

Properties of GCF 7233 and 7236

(i) The GCF of 7233 and 7236 is associative

GCF of 7233 and 7236 = GCF of 7236 and 7233

Related Greatest Common Factor of 7233

Related Greatest Common Factor of 7236

Frequently Asked Questions on GCF of 7233 and 7236

1. What is the GCF of 7233 and 7236?

Answer: GCF of 7233 and 7236 is 3.

2. What are the Factors of 7233?

Answer: Factors of 7233 are 1, 3, 2411, 7233. There are 4 integers that are factors of 7233. The greatest factor of 7233 is 7233.

3. What are the Factors of 7236?

Answer: Factors of 7236 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 67, 108, 134, 201, 268, 402, 603, 804, 1206, 1809, 2412, 3618, 7236. There are 24 integers that are factors of 7236. The greatest factor of 7236 is 7236.

4. How to Find the GCF of 7233 and 7236?

Answer:

Greatest Common Factor of 7233 and 7236 = 3

Step 1: Find the prime factorization of 7233

7233 = 3 x 2411

Step 2: Find the prime factorization of 7236

7236 = 2 x 2 x 3 x 3 x 3 x 67

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 7233 and 7236 is 3