Greatest Common Factor of 39264 and 39269

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 39264, 39269 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 39264 and 39269 is 1.

GCF(39264,39269) = 1

GCF of 39264 and 39269

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

GCF of:
and

Greatest Common Factor of 39264 and 39269

GCF of 39264 and 39269 is 1

Prime Factorization of 39264


2 39264
2 19632
2 9816
2 4908
2 2454
3 1227
409 409
1

Prime factors of 39264 are 2,3,409. Prime factorization of 39264 in exponential form is:

39264 = 25×31×4091

Prime Factorization of 39269


107 39269
367 367
1

Prime factors of 39269 are 107,367. Prime factorization of 39269 in exponential form is:

39269 = 1071×3671

∴ So by taking common prime factors GCF of 39264 and 39269 is 1

Greatest Common Factor of 39264 and 39269 by matching factors method

Factors of 39264

List of positive integer factors of 39264 that divides 39264 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96,409,818,1227,1636,2454,3272,4908,6544,9816,13088,19632,39264

Factors of 39269

List of positive integer factors of 39269 that divides 39269 without a remainder.

1,107,367,39269

Greatest Common Factor

We found the factors and prime factorization of 39264 and 39269. The biggest common factor number is the GCF number.
So the greatest common factor 39264 and 39269 is 1.

Also check out the Least Common Multiple of 39264 and 39269

Properties of GCF 39264 and 39269

(i) The GCF of 39264 and 39269 is associative

GCF of 39264 and 39269 = GCF of 39269 and 39264

Related Greatest Common Factor of 39264

Related Greatest Common Factor of 39269

Frequently Asked Questions on GCF of 39264 and 39269

1. What is the GCF of 39264 and 39269?

Answer: GCF of 39264 and 39269 is 1.

2. What are the Factors of 39264?

Answer: Factors of 39264 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 409, 818, 1227, 1636, 2454, 3272, 4908, 6544, 9816, 13088, 19632, 39264. There are 24 integers that are factors of 39264. The greatest factor of 39264 is 39264.

3. What are the Factors of 39269?

Answer: Factors of 39269 are 1, 107, 367, 39269. There are 4 integers that are factors of 39269. The greatest factor of 39269 is 39269.

4. How to Find the GCF of 39264 and 39269?

Answer:

Greatest Common Factor of 39264 and 39269 = 1

Step 1: Find the prime factorization of 39264

39264 = 2 x 2 x 2 x 2 x 2 x 3 x 409

Step 2: Find the prime factorization of 39269

39269 = 107 x 367

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 39264 and 39269 is 1