Greatest Common Factor of 6252 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 6252, 6253 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6252 and 6253 is 1.

GCF(6252,6253) = 1

GCF of 6252 and 6253

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

GCF of:
and

Greatest Common Factor of 6252 and 6253

GCF of 6252 and 6253 is 1

Prime Factorization of 6252


2 6252
2 3126
3 1563
521 521
1

Prime factors of 6252 are 2,3,521. Prime factorization of 6252 in exponential form is:

6252 = 22×31×5211

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 6252 and 6253 is 1

Greatest Common Factor of 6252 and 6253 by matching factors method

Factors of 6252

List of positive integer factors of 6252 that divides 6252 without a remainder.

1,2,3,4,6,12,521,1042,1563,2084,3126,6252

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 6252 and 6253. The biggest common factor number is the GCF number.
So the greatest common factor 6252 and 6253 is 1.

Also check out the Least Common Multiple of 6252 and 6253

Properties of GCF 6252 and 6253

(i) The GCF of 6252 and 6253 is associative

GCF of 6252 and 6253 = GCF of 6253 and 6252

Related Greatest Common Factor of 6252

Related Greatest Common Factor of 6253

Frequently Asked Questions on GCF of 6252 and 6253

1. What is the GCF of 6252 and 6253?

Answer: GCF of 6252 and 6253 is 1.

2. What are the Factors of 6252?

Answer: Factors of 6252 are 1, 2, 3, 4, 6, 12, 521, 1042, 1563, 2084, 3126, 6252. There are 12 integers that are factors of 6252. The greatest factor of 6252 is 6252.

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 6252 and 6253?

Answer:

Greatest Common Factor of 6252 and 6253 = 1

Step 1: Find the prime factorization of 6252

6252 = 2 x 2 x 3 x 521

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 6252 and 6253 is 1