Greatest Common Factor of 4260 and 4268

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 4260, 4268 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4260 and 4268 is 4.

GCF(4260,4268) = 4

GCF of 4260 and 4268

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

GCF of:
and

Greatest Common Factor of 4260 and 4268

GCF of 4260 and 4268 is 4

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

Prime Factorization of 4268


2 4268
2 2134
11 1067
97 97
1

Prime factors of 4268 are 2,11,97. Prime factorization of 4268 in exponential form is:

4268 = 22×111×971

∴ So by taking common prime factors GCF of 4260 and 4268 is 4

Greatest Common Factor of 4260 and 4268 by matching factors method

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

Factors of 4268

List of positive integer factors of 4268 that divides 4268 without a remainder.

1,2,4,11,22,44,97,194,388,1067,2134,4268

Greatest Common Factor

We found the factors and prime factorization of 4260 and 4268. The biggest common factor number is the GCF number.
So the greatest common factor 4260 and 4268 is 4.

Also check out the Least Common Multiple of 4260 and 4268

Properties of GCF 4260 and 4268

(i) The GCF of 4260 and 4268 is associative

GCF of 4260 and 4268 = GCF of 4268 and 4260

Related Greatest Common Factor of 4260

Related Greatest Common Factor of 4268

Frequently Asked Questions on GCF of 4260 and 4268

1. What is the GCF of 4260 and 4268?

Answer: GCF of 4260 and 4268 is 4.

2. 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.

3. What are the Factors of 4268?

Answer: Factors of 4268 are 1, 2, 4, 11, 22, 44, 97, 194, 388, 1067, 2134, 4268. There are 12 integers that are factors of 4268. The greatest factor of 4268 is 4268.

4. How to Find the GCF of 4260 and 4268?

Answer:

Greatest Common Factor of 4260 and 4268 = 4

Step 1: Find the prime factorization of 4260

4260 = 2 x 2 x 3 x 5 x 71

Step 2: Find the prime factorization of 4268

4268 = 2 x 2 x 11 x 97

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 4260 and 4268 is 4