Greatest Common Factor of 39249 and 39256

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 39249, 39256 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 39249 and 39256 is 7.

GCF(39249,39256) = 7

GCF of 39249 and 39256

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

GCF of:
and

Greatest Common Factor of 39249 and 39256

GCF of 39249 and 39256 is 7

Prime Factorization of 39249


3 39249
3 13083
7 4361
7 623
89 89
1

Prime factors of 39249 are 3,7,89. Prime factorization of 39249 in exponential form is:

39249 = 32×72×891

Prime Factorization of 39256


2 39256
2 19628
2 9814
7 4907
701 701
1

Prime factors of 39256 are 2,7,701. Prime factorization of 39256 in exponential form is:

39256 = 23×71×7011

∴ So by taking common prime factors GCF of 39249 and 39256 is 7

Greatest Common Factor of 39249 and 39256 by matching factors method

Factors of 39249

List of positive integer factors of 39249 that divides 39249 without a remainder.

1,3,7,9,21,49,63,89,147,267,441,623,801,1869,4361,5607,13083,39249

Factors of 39256

List of positive integer factors of 39256 that divides 39256 without a remainder.

1,2,4,7,8,14,28,56,701,1402,2804,4907,5608,9814,19628,39256

Greatest Common Factor

We found the factors and prime factorization of 39249 and 39256. The biggest common factor number is the GCF number.
So the greatest common factor 39249 and 39256 is 7.

Also check out the Least Common Multiple of 39249 and 39256

Properties of GCF 39249 and 39256

(i) The GCF of 39249 and 39256 is associative

GCF of 39249 and 39256 = GCF of 39256 and 39249

Related Greatest Common Factor of 39249

Related Greatest Common Factor of 39256

Frequently Asked Questions on GCF of 39249 and 39256

1. What is the GCF of 39249 and 39256?

Answer: GCF of 39249 and 39256 is 7.

2. What are the Factors of 39249?

Answer: Factors of 39249 are 1, 3, 7, 9, 21, 49, 63, 89, 147, 267, 441, 623, 801, 1869, 4361, 5607, 13083, 39249. There are 18 integers that are factors of 39249. The greatest factor of 39249 is 39249.

3. What are the Factors of 39256?

Answer: Factors of 39256 are 1, 2, 4, 7, 8, 14, 28, 56, 701, 1402, 2804, 4907, 5608, 9814, 19628, 39256. There are 16 integers that are factors of 39256. The greatest factor of 39256 is 39256.

4. How to Find the GCF of 39249 and 39256?

Answer:

Greatest Common Factor of 39249 and 39256 = 7

Step 1: Find the prime factorization of 39249

39249 = 3 x 3 x 7 x 7 x 89

Step 2: Find the prime factorization of 39256

39256 = 2 x 2 x 2 x 7 x 701

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

GCF = 7

Step 4: Therefore, the greatest common factor of 39249 and 39256 is 7