Greatest Common Factor of 4254 and 4260

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 4254, 4260 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4254 and 4260 is 6.

GCF(4254,4260) = 6

GCF of 4254 and 4260

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

GCF of:
and

Greatest Common Factor of 4254 and 4260

GCF of 4254 and 4260 is 6

Prime Factorization of 4254


2 4254
3 2127
709 709
1

Prime factors of 4254 are 2,3,709. Prime factorization of 4254 in exponential form is:

4254 = 21×31×7091

Prime Factorization of 4260


2 4260
2 2130
3 1065
5 355
71 71
1

Prime factors of 4260 are 2,3,5,71. Prime factorization of 4260 in exponential form is:

4260 = 22×31×51×711

∴ So by taking common prime factors GCF of 4254 and 4260 is 6

Greatest Common Factor of 4254 and 4260 by matching factors method

Factors of 4254

List of positive integer factors of 4254 that divides 4254 without a remainder.

1,2,3,6,709,1418,2127,4254

Factors of 4260

List of positive integer factors of 4260 that divides 4260 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,71,142,213,284,355,426,710,852,1065,1420,2130,4260

Greatest Common Factor

We found the factors and prime factorization of 4254 and 4260. The biggest common factor number is the GCF number.
So the greatest common factor 4254 and 4260 is 6.

Also check out the Least Common Multiple of 4254 and 4260

Properties of GCF 4254 and 4260

(i) The GCF of 4254 and 4260 is associative

GCF of 4254 and 4260 = GCF of 4260 and 4254

Related Greatest Common Factor of 4254

Related Greatest Common Factor of 4260

Frequently Asked Questions on GCF of 4254 and 4260

1. What is the GCF of 4254 and 4260?

Answer: GCF of 4254 and 4260 is 6.

2. What are the Factors of 4254?

Answer: Factors of 4254 are 1, 2, 3, 6, 709, 1418, 2127, 4254. There are 8 integers that are factors of 4254. The greatest factor of 4254 is 4254.

3. What are the Factors of 4260?

Answer: Factors of 4260 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 71, 142, 213, 284, 355, 426, 710, 852, 1065, 1420, 2130, 4260. There are 24 integers that are factors of 4260. The greatest factor of 4260 is 4260.

4. How to Find the GCF of 4254 and 4260?

Answer:

Greatest Common Factor of 4254 and 4260 = 6

Step 1: Find the prime factorization of 4254

4254 = 2 x 3 x 709

Step 2: Find the prime factorization of 4260

4260 = 2 x 2 x 3 x 5 x 71

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 4254 and 4260 is 6