Greatest Common Factor of 15245 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 15245, 15250 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15245 and 15250 is 5.

GCF(15245,15250) = 5

GCF of 15245 and 15250

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

GCF of:
and

Greatest Common Factor of 15245 and 15250

GCF of 15245 and 15250 is 5

Prime Factorization of 15245


5 15245
3049 3049
1

Prime factors of 15245 are 5,3049. Prime factorization of 15245 in exponential form is:

15245 = 51×30491

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 15245 and 15250 is 5

Greatest Common Factor of 15245 and 15250 by matching factors method

Factors of 15245

List of positive integer factors of 15245 that divides 15245 without a remainder.

1,5,3049,15245

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 15245 and 15250. The biggest common factor number is the GCF number.
So the greatest common factor 15245 and 15250 is 5.

Also check out the Least Common Multiple of 15245 and 15250

Properties of GCF 15245 and 15250

(i) The GCF of 15245 and 15250 is associative

GCF of 15245 and 15250 = GCF of 15250 and 15245

Related Greatest Common Factor of 15245

Related Greatest Common Factor of 15250

Frequently Asked Questions on GCF of 15245 and 15250

1. What is the GCF of 15245 and 15250?

Answer: GCF of 15245 and 15250 is 5.

2. What are the Factors of 15245?

Answer: Factors of 15245 are 1, 5, 3049, 15245. There are 4 integers that are factors of 15245. The greatest factor of 15245 is 15245.

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 15245 and 15250?

Answer:

Greatest Common Factor of 15245 and 15250 = 5

Step 1: Find the prime factorization of 15245

15245 = 5 x 3049

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 = 5

Step 4: Therefore, the greatest common factor of 15245 and 15250 is 5