Greatest Common Factor of 6258 and 6265

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, 6265 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6258 and 6265 is 7.

GCF(6258,6265) = 7

GCF of 6258 and 6265

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

GCF of:
and

Greatest Common Factor of 6258 and 6265

GCF of 6258 and 6265 is 7

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 6265


5 6265
7 1253
179 179
1

Prime factors of 6265 are 5,7,179. Prime factorization of 6265 in exponential form is:

6265 = 51×71×1791

∴ So by taking common prime factors GCF of 6258 and 6265 is 7

Greatest Common Factor of 6258 and 6265 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 6265

List of positive integer factors of 6265 that divides 6265 without a remainder.

1,5,7,35,179,895,1253,6265

Greatest Common Factor

We found the factors and prime factorization of 6258 and 6265. The biggest common factor number is the GCF number.
So the greatest common factor 6258 and 6265 is 7.

Also check out the Least Common Multiple of 6258 and 6265

Properties of GCF 6258 and 6265

(i) The GCF of 6258 and 6265 is associative

GCF of 6258 and 6265 = GCF of 6265 and 6258

Related Greatest Common Factor of 6258

Related Greatest Common Factor of 6265

Frequently Asked Questions on GCF of 6258 and 6265

1. What is the GCF of 6258 and 6265?

Answer: GCF of 6258 and 6265 is 7.

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 6265?

Answer: Factors of 6265 are 1, 5, 7, 35, 179, 895, 1253, 6265. There are 8 integers that are factors of 6265. The greatest factor of 6265 is 6265.

4. How to Find the GCF of 6258 and 6265?

Answer:

Greatest Common Factor of 6258 and 6265 = 7

Step 1: Find the prime factorization of 6258

6258 = 2 x 3 x 7 x 149

Step 2: Find the prime factorization of 6265

6265 = 5 x 7 x 179

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

GCF = 7

Step 4: Therefore, the greatest common factor of 6258 and 6265 is 7