Greatest Common Factor of 15240 and 15248

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 15240, 15248 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15240 and 15248 is 8.

GCF(15240,15248) = 8

GCF of 15240 and 15248

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

GCF of:
and

Greatest Common Factor of 15240 and 15248

GCF of 15240 and 15248 is 8

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

Prime Factorization of 15248


2 15248
2 7624
2 3812
2 1906
953 953
1

Prime factors of 15248 are 2,953. Prime factorization of 15248 in exponential form is:

15248 = 24×9531

∴ So by taking common prime factors GCF of 15240 and 15248 is 8

Greatest Common Factor of 15240 and 15248 by matching factors method

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

Factors of 15248

List of positive integer factors of 15248 that divides 15248 without a remainder.

1,2,4,8,16,953,1906,3812,7624,15248

Greatest Common Factor

We found the factors and prime factorization of 15240 and 15248. The biggest common factor number is the GCF number.
So the greatest common factor 15240 and 15248 is 8.

Also check out the Least Common Multiple of 15240 and 15248

Properties of GCF 15240 and 15248

(i) The GCF of 15240 and 15248 is associative

GCF of 15240 and 15248 = GCF of 15248 and 15240

Related Greatest Common Factor of 15240

Related Greatest Common Factor of 15248

Frequently Asked Questions on GCF of 15240 and 15248

1. What is the GCF of 15240 and 15248?

Answer: GCF of 15240 and 15248 is 8.

2. 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.

3. What are the Factors of 15248?

Answer: Factors of 15248 are 1, 2, 4, 8, 16, 953, 1906, 3812, 7624, 15248. There are 10 integers that are factors of 15248. The greatest factor of 15248 is 15248.

4. How to Find the GCF of 15240 and 15248?

Answer:

Greatest Common Factor of 15240 and 15248 = 8

Step 1: Find the prime factorization of 15240

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

Step 2: Find the prime factorization of 15248

15248 = 2 x 2 x 2 x 2 x 953

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 15240 and 15248 is 8