Greatest Common Factor of 15235 and 15240

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 15235, 15240 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15235 and 15240 is 5.

GCF(15235,15240) = 5

GCF of 15235 and 15240

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

GCF of:
and

Greatest Common Factor of 15235 and 15240

GCF of 15235 and 15240 is 5

Prime Factorization of 15235


5 15235
11 3047
277 277
1

Prime factors of 15235 are 5,11,277. Prime factorization of 15235 in exponential form is:

15235 = 51×111×2771

Prime Factorization of 15240


2 15240
2 7620
2 3810
3 1905
5 635
127 127
1

Prime factors of 15240 are 2,3,5,127. Prime factorization of 15240 in exponential form is:

15240 = 23×31×51×1271

∴ So by taking common prime factors GCF of 15235 and 15240 is 5

Greatest Common Factor of 15235 and 15240 by matching factors method

Factors of 15235

List of positive integer factors of 15235 that divides 15235 without a remainder.

1,5,11,55,277,1385,3047,15235

Factors of 15240

List of positive integer factors of 15240 that divides 15240 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120,127,254,381,508,635,762,1016,1270,1524,1905,2540,3048,3810,5080,7620,15240

Greatest Common Factor

We found the factors and prime factorization of 15235 and 15240. The biggest common factor number is the GCF number.
So the greatest common factor 15235 and 15240 is 5.

Also check out the Least Common Multiple of 15235 and 15240

Properties of GCF 15235 and 15240

(i) The GCF of 15235 and 15240 is associative

GCF of 15235 and 15240 = GCF of 15240 and 15235

Related Greatest Common Factor of 15235

Related Greatest Common Factor of 15240

Frequently Asked Questions on GCF of 15235 and 15240

1. What is the GCF of 15235 and 15240?

Answer: GCF of 15235 and 15240 is 5.

2. What are the Factors of 15235?

Answer: Factors of 15235 are 1, 5, 11, 55, 277, 1385, 3047, 15235. There are 8 integers that are factors of 15235. The greatest factor of 15235 is 15235.

3. What are the Factors of 15240?

Answer: Factors of 15240 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 127, 254, 381, 508, 635, 762, 1016, 1270, 1524, 1905, 2540, 3048, 3810, 5080, 7620, 15240. There are 32 integers that are factors of 15240. The greatest factor of 15240 is 15240.

4. How to Find the GCF of 15235 and 15240?

Answer:

Greatest Common Factor of 15235 and 15240 = 5

Step 1: Find the prime factorization of 15235

15235 = 5 x 11 x 277

Step 2: Find the prime factorization of 15240

15240 = 2 x 2 x 2 x 3 x 5 x 127

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

GCF = 5

Step 4: Therefore, the greatest common factor of 15235 and 15240 is 5