Greatest Common Factor of 15240 and 15244

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, 15244 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15240 and 15244 is 4.

GCF(15240,15244) = 4

GCF of 15240 and 15244

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

GCF of:
and

Greatest Common Factor of 15240 and 15244

GCF of 15240 and 15244 is 4

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 15244


2 15244
2 7622
37 3811
103 103
1

Prime factors of 15244 are 2,37,103. Prime factorization of 15244 in exponential form is:

15244 = 22×371×1031

∴ So by taking common prime factors GCF of 15240 and 15244 is 4

Greatest Common Factor of 15240 and 15244 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 15244

List of positive integer factors of 15244 that divides 15244 without a remainder.

1,2,4,37,74,103,148,206,412,3811,7622,15244

Greatest Common Factor

We found the factors and prime factorization of 15240 and 15244. The biggest common factor number is the GCF number.
So the greatest common factor 15240 and 15244 is 4.

Also check out the Least Common Multiple of 15240 and 15244

Properties of GCF 15240 and 15244

(i) The GCF of 15240 and 15244 is associative

GCF of 15240 and 15244 = GCF of 15244 and 15240

Related Greatest Common Factor of 15240

Related Greatest Common Factor of 15244

Frequently Asked Questions on GCF of 15240 and 15244

1. What is the GCF of 15240 and 15244?

Answer: GCF of 15240 and 15244 is 4.

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 15244?

Answer: Factors of 15244 are 1, 2, 4, 37, 74, 103, 148, 206, 412, 3811, 7622, 15244. There are 12 integers that are factors of 15244. The greatest factor of 15244 is 15244.

4. How to Find the GCF of 15240 and 15244?

Answer:

Greatest Common Factor of 15240 and 15244 = 4

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 15244

15244 = 2 x 2 x 37 x 103

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 15240 and 15244 is 4