Greatest Common Factor of 6254 and 6260

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 6254, 6260 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6254 and 6260 is 2.

GCF(6254,6260) = 2

GCF of 6254 and 6260

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

GCF of:
and

Greatest Common Factor of 6254 and 6260

GCF of 6254 and 6260 is 2

Prime Factorization of 6254


2 6254
53 3127
59 59
1

Prime factors of 6254 are 2,53,59. Prime factorization of 6254 in exponential form is:

6254 = 21×531×591

Prime Factorization of 6260


2 6260
2 3130
5 1565
313 313
1

Prime factors of 6260 are 2,5,313. Prime factorization of 6260 in exponential form is:

6260 = 22×51×3131

∴ So by taking common prime factors GCF of 6254 and 6260 is 2

Greatest Common Factor of 6254 and 6260 by matching factors method

Factors of 6254

List of positive integer factors of 6254 that divides 6254 without a remainder.

1,2,53,59,106,118,3127,6254

Factors of 6260

List of positive integer factors of 6260 that divides 6260 without a remainder.

1,2,4,5,10,20,313,626,1252,1565,3130,6260

Greatest Common Factor

We found the factors and prime factorization of 6254 and 6260. The biggest common factor number is the GCF number.
So the greatest common factor 6254 and 6260 is 2.

Also check out the Least Common Multiple of 6254 and 6260

Properties of GCF 6254 and 6260

(i) The GCF of 6254 and 6260 is associative

GCF of 6254 and 6260 = GCF of 6260 and 6254

Related Greatest Common Factor of 6254

Related Greatest Common Factor of 6260

Frequently Asked Questions on GCF of 6254 and 6260

1. What is the GCF of 6254 and 6260?

Answer: GCF of 6254 and 6260 is 2.

2. What are the Factors of 6254?

Answer: Factors of 6254 are 1, 2, 53, 59, 106, 118, 3127, 6254. There are 8 integers that are factors of 6254. The greatest factor of 6254 is 6254.

3. What are the Factors of 6260?

Answer: Factors of 6260 are 1, 2, 4, 5, 10, 20, 313, 626, 1252, 1565, 3130, 6260. There are 12 integers that are factors of 6260. The greatest factor of 6260 is 6260.

4. How to Find the GCF of 6254 and 6260?

Answer:

Greatest Common Factor of 6254 and 6260 = 2

Step 1: Find the prime factorization of 6254

6254 = 2 x 53 x 59

Step 2: Find the prime factorization of 6260

6260 = 2 x 2 x 5 x 313

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

GCF = 2

Step 4: Therefore, the greatest common factor of 6254 and 6260 is 2