Greatest Common Factor of 6252 and 6258

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, 6258 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6252 and 6258 is 6.

GCF(6252,6258) = 6

GCF of 6252 and 6258

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

GCF of:
and

Greatest Common Factor of 6252 and 6258

GCF of 6252 and 6258 is 6

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 6258


2 6258
3 3129
7 1043
149 149
1

Prime factors of 6258 are 2,3,7,149. Prime factorization of 6258 in exponential form is:

6258 = 21×31×71×1491

∴ So by taking common prime factors GCF of 6252 and 6258 is 6

Greatest Common Factor of 6252 and 6258 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 6258

List of positive integer factors of 6258 that divides 6258 without a remainder.

1,2,3,6,7,14,21,42,149,298,447,894,1043,2086,3129,6258

Greatest Common Factor

We found the factors and prime factorization of 6252 and 6258. The biggest common factor number is the GCF number.
So the greatest common factor 6252 and 6258 is 6.

Also check out the Least Common Multiple of 6252 and 6258

Properties of GCF 6252 and 6258

(i) The GCF of 6252 and 6258 is associative

GCF of 6252 and 6258 = GCF of 6258 and 6252

Related Greatest Common Factor of 6252

Related Greatest Common Factor of 6258

Frequently Asked Questions on GCF of 6252 and 6258

1. What is the GCF of 6252 and 6258?

Answer: GCF of 6252 and 6258 is 6.

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 6258?

Answer: Factors of 6258 are 1, 2, 3, 6, 7, 14, 21, 42, 149, 298, 447, 894, 1043, 2086, 3129, 6258. There are 16 integers that are factors of 6258. The greatest factor of 6258 is 6258.

4. How to Find the GCF of 6252 and 6258?

Answer:

Greatest Common Factor of 6252 and 6258 = 6

Step 1: Find the prime factorization of 6252

6252 = 2 x 2 x 3 x 521

Step 2: Find the prime factorization of 6258

6258 = 2 x 3 x 7 x 149

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 6252 and 6258 is 6