Greatest Common Factor of 39245 and 39249

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 39245, 39249 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 39245 and 39249 is 1.

GCF(39245,39249) = 1

GCF of 39245 and 39249

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

GCF of:
and

Greatest Common Factor of 39245 and 39249

GCF of 39245 and 39249 is 1

Prime Factorization of 39245


5 39245
47 7849
167 167
1

Prime factors of 39245 are 5,47,167. Prime factorization of 39245 in exponential form is:

39245 = 51×471×1671

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

∴ So by taking common prime factors GCF of 39245 and 39249 is 1

Greatest Common Factor of 39245 and 39249 by matching factors method

Factors of 39245

List of positive integer factors of 39245 that divides 39245 without a remainder.

1,5,47,167,235,835,7849,39245

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

Greatest Common Factor

We found the factors and prime factorization of 39245 and 39249. The biggest common factor number is the GCF number.
So the greatest common factor 39245 and 39249 is 1.

Also check out the Least Common Multiple of 39245 and 39249

Properties of GCF 39245 and 39249

(i) The GCF of 39245 and 39249 is associative

GCF of 39245 and 39249 = GCF of 39249 and 39245

Related Greatest Common Factor of 39245

Related Greatest Common Factor of 39249

Frequently Asked Questions on GCF of 39245 and 39249

1. What is the GCF of 39245 and 39249?

Answer: GCF of 39245 and 39249 is 1.

2. What are the Factors of 39245?

Answer: Factors of 39245 are 1, 5, 47, 167, 235, 835, 7849, 39245. There are 8 integers that are factors of 39245. The greatest factor of 39245 is 39245.

3. 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.

4. How to Find the GCF of 39245 and 39249?

Answer:

Greatest Common Factor of 39245 and 39249 = 1

Step 1: Find the prime factorization of 39245

39245 = 5 x 47 x 167

Step 2: Find the prime factorization of 39249

39249 = 3 x 3 x 7 x 7 x 89

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 39245 and 39249 is 1