Greatest Common Factor of 6258 and 6264

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 6258, 6264 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6258 and 6264 is 6.

GCF(6258,6264) = 6

GCF of 6258 and 6264

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

GCF of:
and

Greatest Common Factor of 6258 and 6264

GCF of 6258 and 6264 is 6

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

Prime Factorization of 6264


2 6264
2 3132
2 1566
3 783
3 261
3 87
29 29
1

Prime factors of 6264 are 2,3,29. Prime factorization of 6264 in exponential form is:

6264 = 23×33×291

∴ So by taking common prime factors GCF of 6258 and 6264 is 6

Greatest Common Factor of 6258 and 6264 by matching factors method

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

Factors of 6264

List of positive integer factors of 6264 that divides 6264 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,29,36,54,58,72,87,108,116,174,216,232,261,348,522,696,783,1044,1566,2088,3132,6264

Greatest Common Factor

We found the factors and prime factorization of 6258 and 6264. The biggest common factor number is the GCF number.
So the greatest common factor 6258 and 6264 is 6.

Also check out the Least Common Multiple of 6258 and 6264

Properties of GCF 6258 and 6264

(i) The GCF of 6258 and 6264 is associative

GCF of 6258 and 6264 = GCF of 6264 and 6258

Related Greatest Common Factor of 6258

Related Greatest Common Factor of 6264

Frequently Asked Questions on GCF of 6258 and 6264

1. What is the GCF of 6258 and 6264?

Answer: GCF of 6258 and 6264 is 6.

2. 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.

3. What are the Factors of 6264?

Answer: Factors of 6264 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 29, 36, 54, 58, 72, 87, 108, 116, 174, 216, 232, 261, 348, 522, 696, 783, 1044, 1566, 2088, 3132, 6264. There are 32 integers that are factors of 6264. The greatest factor of 6264 is 6264.

4. How to Find the GCF of 6258 and 6264?

Answer:

Greatest Common Factor of 6258 and 6264 = 6

Step 1: Find the prime factorization of 6258

6258 = 2 x 3 x 7 x 149

Step 2: Find the prime factorization of 6264

6264 = 2 x 2 x 2 x 3 x 3 x 3 x 29

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 6258 and 6264 is 6