Greatest Common Factor of 6245 and 6253

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, 6253 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6245 and 6253 is 1.

GCF(6245,6253) = 1

GCF of 6245 and 6253

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

GCF of:
and

Greatest Common Factor of 6245 and 6253

GCF of 6245 and 6253 is 1

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 6253


13 6253
13 481
37 37
1

Prime factors of 6253 are 13,37. Prime factorization of 6253 in exponential form is:

6253 = 132×371

∴ So by taking common prime factors GCF of 6245 and 6253 is 1

Greatest Common Factor of 6245 and 6253 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 6253

List of positive integer factors of 6253 that divides 6253 without a remainder.

1,13,37,169,481,6253

Greatest Common Factor

We found the factors and prime factorization of 6245 and 6253. The biggest common factor number is the GCF number.
So the greatest common factor 6245 and 6253 is 1.

Also check out the Least Common Multiple of 6245 and 6253

Properties of GCF 6245 and 6253

(i) The GCF of 6245 and 6253 is associative

GCF of 6245 and 6253 = GCF of 6253 and 6245

Related Greatest Common Factor of 6245

Related Greatest Common Factor of 6253

Frequently Asked Questions on GCF of 6245 and 6253

1. What is the GCF of 6245 and 6253?

Answer: GCF of 6245 and 6253 is 1.

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 6253?

Answer: Factors of 6253 are 1, 13, 37, 169, 481, 6253. There are 6 integers that are factors of 6253. The greatest factor of 6253 is 6253.

4. How to Find the GCF of 6245 and 6253?

Answer:

Greatest Common Factor of 6245 and 6253 = 1

Step 1: Find the prime factorization of 6245

6245 = 5 x 1249

Step 2: Find the prime factorization of 6253

6253 = 13 x 13 x 37

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 6245 and 6253 is 1