Greatest Common Factor of 6245 and 6250

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 6245, 6250 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6245 and 6250 is 5.

GCF(6245,6250) = 5

GCF of 6245 and 6250

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

GCF of:
and

Greatest Common Factor of 6245 and 6250

GCF of 6245 and 6250 is 5

Prime Factorization of 6245


5 6245
1249 1249
1

Prime factors of 6245 are 5,1249. Prime factorization of 6245 in exponential form is:

6245 = 51×12491

Prime Factorization of 6250


2 6250
5 3125
5 625
5 125
5 25
5 5
1

Prime factors of 6250 are 2,5. Prime factorization of 6250 in exponential form is:

6250 = 21×55

∴ So by taking common prime factors GCF of 6245 and 6250 is 5

Greatest Common Factor of 6245 and 6250 by matching factors method

Factors of 6245

List of positive integer factors of 6245 that divides 6245 without a remainder.

1,5,1249,6245

Factors of 6250

List of positive integer factors of 6250 that divides 6250 without a remainder.

1,2,5,10,25,50,125,250,625,1250,3125,6250

Greatest Common Factor

We found the factors and prime factorization of 6245 and 6250. The biggest common factor number is the GCF number.
So the greatest common factor 6245 and 6250 is 5.

Also check out the Least Common Multiple of 6245 and 6250

Properties of GCF 6245 and 6250

(i) The GCF of 6245 and 6250 is associative

GCF of 6245 and 6250 = GCF of 6250 and 6245

Related Greatest Common Factor of 6245

Related Greatest Common Factor of 6250

Frequently Asked Questions on GCF of 6245 and 6250

1. What is the GCF of 6245 and 6250?

Answer: GCF of 6245 and 6250 is 5.

2. What are the Factors of 6245?

Answer: Factors of 6245 are 1, 5, 1249, 6245. There are 4 integers that are factors of 6245. The greatest factor of 6245 is 6245.

3. What are the Factors of 6250?

Answer: Factors of 6250 are 1, 2, 5, 10, 25, 50, 125, 250, 625, 1250, 3125, 6250. There are 12 integers that are factors of 6250. The greatest factor of 6250 is 6250.

4. How to Find the GCF of 6245 and 6250?

Answer:

Greatest Common Factor of 6245 and 6250 = 5

Step 1: Find the prime factorization of 6245

6245 = 5 x 1249

Step 2: Find the prime factorization of 6250

6250 = 2 x 5 x 5 x 5 x 5 x 5

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 6245 and 6250 is 5