Greatest Common Factor of 4236 and 4240

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 4236, 4240 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4236 and 4240 is 4.

GCF(4236,4240) = 4

GCF of 4236 and 4240

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

GCF of:
and

Greatest Common Factor of 4236 and 4240

GCF of 4236 and 4240 is 4

Prime Factorization of 4236


2 4236
2 2118
3 1059
353 353
1

Prime factors of 4236 are 2,3,353. Prime factorization of 4236 in exponential form is:

4236 = 22×31×3531

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

∴ So by taking common prime factors GCF of 4236 and 4240 is 4

Greatest Common Factor of 4236 and 4240 by matching factors method

Factors of 4236

List of positive integer factors of 4236 that divides 4236 without a remainder.

1,2,3,4,6,12,353,706,1059,1412,2118,4236

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

Greatest Common Factor

We found the factors and prime factorization of 4236 and 4240. The biggest common factor number is the GCF number.
So the greatest common factor 4236 and 4240 is 4.

Also check out the Least Common Multiple of 4236 and 4240

Properties of GCF 4236 and 4240

(i) The GCF of 4236 and 4240 is associative

GCF of 4236 and 4240 = GCF of 4240 and 4236

Related Greatest Common Factor of 4236

Related Greatest Common Factor of 4240

Frequently Asked Questions on GCF of 4236 and 4240

1. What is the GCF of 4236 and 4240?

Answer: GCF of 4236 and 4240 is 4.

2. What are the Factors of 4236?

Answer: Factors of 4236 are 1, 2, 3, 4, 6, 12, 353, 706, 1059, 1412, 2118, 4236. There are 12 integers that are factors of 4236. The greatest factor of 4236 is 4236.

3. 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.

4. How to Find the GCF of 4236 and 4240?

Answer:

Greatest Common Factor of 4236 and 4240 = 4

Step 1: Find the prime factorization of 4236

4236 = 2 x 2 x 3 x 353

Step 2: Find the prime factorization of 4240

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

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 4236 and 4240 is 4