Greatest Common Factor of 15244 and 15250

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 15244, 15250 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15244 and 15250 is 2.

GCF(15244,15250) = 2

GCF of 15244 and 15250

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

GCF of:
and

Greatest Common Factor of 15244 and 15250

GCF of 15244 and 15250 is 2

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

Prime Factorization of 15250


2 15250
5 7625
5 1525
5 305
61 61
1

Prime factors of 15250 are 2,5,61. Prime factorization of 15250 in exponential form is:

15250 = 21×53×611

∴ So by taking common prime factors GCF of 15244 and 15250 is 2

Greatest Common Factor of 15244 and 15250 by matching factors method

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

Factors of 15250

List of positive integer factors of 15250 that divides 15250 without a remainder.

1,2,5,10,25,50,61,122,125,250,305,610,1525,3050,7625,15250

Greatest Common Factor

We found the factors and prime factorization of 15244 and 15250. The biggest common factor number is the GCF number.
So the greatest common factor 15244 and 15250 is 2.

Also check out the Least Common Multiple of 15244 and 15250

Properties of GCF 15244 and 15250

(i) The GCF of 15244 and 15250 is associative

GCF of 15244 and 15250 = GCF of 15250 and 15244

Related Greatest Common Factor of 15244

Related Greatest Common Factor of 15250

Frequently Asked Questions on GCF of 15244 and 15250

1. What is the GCF of 15244 and 15250?

Answer: GCF of 15244 and 15250 is 2.

2. 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.

3. What are the Factors of 15250?

Answer: Factors of 15250 are 1, 2, 5, 10, 25, 50, 61, 122, 125, 250, 305, 610, 1525, 3050, 7625, 15250. There are 16 integers that are factors of 15250. The greatest factor of 15250 is 15250.

4. How to Find the GCF of 15244 and 15250?

Answer:

Greatest Common Factor of 15244 and 15250 = 2

Step 1: Find the prime factorization of 15244

15244 = 2 x 2 x 37 x 103

Step 2: Find the prime factorization of 15250

15250 = 2 x 5 x 5 x 5 x 61

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

GCF = 2

Step 4: Therefore, the greatest common factor of 15244 and 15250 is 2