Greatest Common Factor of 4240 and 4245

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 4240, 4245 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4240 and 4245 is 5.

GCF(4240,4245) = 5

GCF of 4240 and 4245

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

GCF of:
and

Greatest Common Factor of 4240 and 4245

GCF of 4240 and 4245 is 5

Prime Factorization of 4240


2 4240
2 2120
2 1060
2 530
5 265
53 53
1

Prime factors of 4240 are 2,5,53. Prime factorization of 4240 in exponential form is:

4240 = 24×51×531

Prime Factorization of 4245


3 4245
5 1415
283 283
1

Prime factors of 4245 are 3,5,283. Prime factorization of 4245 in exponential form is:

4245 = 31×51×2831

∴ So by taking common prime factors GCF of 4240 and 4245 is 5

Greatest Common Factor of 4240 and 4245 by matching factors method

Factors of 4240

List of positive integer factors of 4240 that divides 4240 without a remainder.

1,2,4,5,8,10,16,20,40,53,80,106,212,265,424,530,848,1060,2120,4240

Factors of 4245

List of positive integer factors of 4245 that divides 4245 without a remainder.

1,3,5,15,283,849,1415,4245

Greatest Common Factor

We found the factors and prime factorization of 4240 and 4245. The biggest common factor number is the GCF number.
So the greatest common factor 4240 and 4245 is 5.

Also check out the Least Common Multiple of 4240 and 4245

Properties of GCF 4240 and 4245

(i) The GCF of 4240 and 4245 is associative

GCF of 4240 and 4245 = GCF of 4245 and 4240

Related Greatest Common Factor of 4240

Related Greatest Common Factor of 4245

Frequently Asked Questions on GCF of 4240 and 4245

1. What is the GCF of 4240 and 4245?

Answer: GCF of 4240 and 4245 is 5.

2. What are the Factors of 4240?

Answer: Factors of 4240 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 53, 80, 106, 212, 265, 424, 530, 848, 1060, 2120, 4240. There are 20 integers that are factors of 4240. The greatest factor of 4240 is 4240.

3. What are the Factors of 4245?

Answer: Factors of 4245 are 1, 3, 5, 15, 283, 849, 1415, 4245. There are 8 integers that are factors of 4245. The greatest factor of 4245 is 4245.

4. How to Find the GCF of 4240 and 4245?

Answer:

Greatest Common Factor of 4240 and 4245 = 5

Step 1: Find the prime factorization of 4240

4240 = 2 x 2 x 2 x 2 x 5 x 53

Step 2: Find the prime factorization of 4245

4245 = 3 x 5 x 283

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

GCF = 5

Step 4: Therefore, the greatest common factor of 4240 and 4245 is 5