Greatest Common Factor of 39243 and 39246

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 39243, 39246 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 39243 and 39246 is 3.

GCF(39243,39246) = 3

GCF of 39243 and 39246

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

GCF of:
and

Greatest Common Factor of 39243 and 39246

GCF of 39243 and 39246 is 3

Prime Factorization of 39243


3 39243
103 13081
127 127
1

Prime factors of 39243 are 3,103,127. Prime factorization of 39243 in exponential form is:

39243 = 31×1031×1271

Prime Factorization of 39246


2 39246
3 19623
31 6541
211 211
1

Prime factors of 39246 are 2,3,31,211. Prime factorization of 39246 in exponential form is:

39246 = 21×31×311×2111

∴ So by taking common prime factors GCF of 39243 and 39246 is 3

Greatest Common Factor of 39243 and 39246 by matching factors method

Factors of 39243

List of positive integer factors of 39243 that divides 39243 without a remainder.

1,3,103,127,309,381,13081,39243

Factors of 39246

List of positive integer factors of 39246 that divides 39246 without a remainder.

1,2,3,6,31,62,93,186,211,422,633,1266,6541,13082,19623,39246

Greatest Common Factor

We found the factors and prime factorization of 39243 and 39246. The biggest common factor number is the GCF number.
So the greatest common factor 39243 and 39246 is 3.

Also check out the Least Common Multiple of 39243 and 39246

Properties of GCF 39243 and 39246

(i) The GCF of 39243 and 39246 is associative

GCF of 39243 and 39246 = GCF of 39246 and 39243

Related Greatest Common Factor of 39243

Related Greatest Common Factor of 39246

Frequently Asked Questions on GCF of 39243 and 39246

1. What is the GCF of 39243 and 39246?

Answer: GCF of 39243 and 39246 is 3.

2. What are the Factors of 39243?

Answer: Factors of 39243 are 1, 3, 103, 127, 309, 381, 13081, 39243. There are 8 integers that are factors of 39243. The greatest factor of 39243 is 39243.

3. What are the Factors of 39246?

Answer: Factors of 39246 are 1, 2, 3, 6, 31, 62, 93, 186, 211, 422, 633, 1266, 6541, 13082, 19623, 39246. There are 16 integers that are factors of 39246. The greatest factor of 39246 is 39246.

4. How to Find the GCF of 39243 and 39246?

Answer:

Greatest Common Factor of 39243 and 39246 = 3

Step 1: Find the prime factorization of 39243

39243 = 3 x 103 x 127

Step 2: Find the prime factorization of 39246

39246 = 2 x 3 x 31 x 211

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 39243 and 39246 is 3