Greatest Common Factor of 15240 and 15246

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, 15246 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15240 and 15246 is 6.

GCF(15240,15246) = 6

GCF of 15240 and 15246

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

GCF of:
and

Greatest Common Factor of 15240 and 15246

GCF of 15240 and 15246 is 6

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 15246


2 15246
3 7623
3 2541
7 847
11 121
11 11
1

Prime factors of 15246 are 2,3,7,11. Prime factorization of 15246 in exponential form is:

15246 = 21×32×71×112

∴ So by taking common prime factors GCF of 15240 and 15246 is 6

Greatest Common Factor of 15240 and 15246 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 15246

List of positive integer factors of 15246 that divides 15246 without a remainder.

1,2,3,6,7,9,11,14,18,21,22,33,42,63,66,77,99,121,126,154,198,231,242,363,462,693,726,847,1089,1386,1694,2178,2541,5082,7623,15246

Greatest Common Factor

We found the factors and prime factorization of 15240 and 15246. The biggest common factor number is the GCF number.
So the greatest common factor 15240 and 15246 is 6.

Also check out the Least Common Multiple of 15240 and 15246

Properties of GCF 15240 and 15246

(i) The GCF of 15240 and 15246 is associative

GCF of 15240 and 15246 = GCF of 15246 and 15240

Related Greatest Common Factor of 15240

Related Greatest Common Factor of 15246

Frequently Asked Questions on GCF of 15240 and 15246

1. What is the GCF of 15240 and 15246?

Answer: GCF of 15240 and 15246 is 6.

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 15246?

Answer: Factors of 15246 are 1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 33, 42, 63, 66, 77, 99, 121, 126, 154, 198, 231, 242, 363, 462, 693, 726, 847, 1089, 1386, 1694, 2178, 2541, 5082, 7623, 15246. There are 36 integers that are factors of 15246. The greatest factor of 15246 is 15246.

4. How to Find the GCF of 15240 and 15246?

Answer:

Greatest Common Factor of 15240 and 15246 = 6

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 15246

15246 = 2 x 3 x 3 x 7 x 11 x 11

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 15240 and 15246 is 6