Greatest Common Factor of 4240 and 4248

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, 4248 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4240 and 4248 is 8.

GCF(4240,4248) = 8

GCF of 4240 and 4248

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

GCF of:
and

Greatest Common Factor of 4240 and 4248

GCF of 4240 and 4248 is 8

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 4248


2 4248
2 2124
2 1062
3 531
3 177
59 59
1

Prime factors of 4248 are 2,3,59. Prime factorization of 4248 in exponential form is:

4248 = 23×32×591

∴ So by taking common prime factors GCF of 4240 and 4248 is 8

Greatest Common Factor of 4240 and 4248 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 4248

List of positive integer factors of 4248 that divides 4248 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,59,72,118,177,236,354,472,531,708,1062,1416,2124,4248

Greatest Common Factor

We found the factors and prime factorization of 4240 and 4248. The biggest common factor number is the GCF number.
So the greatest common factor 4240 and 4248 is 8.

Also check out the Least Common Multiple of 4240 and 4248

Properties of GCF 4240 and 4248

(i) The GCF of 4240 and 4248 is associative

GCF of 4240 and 4248 = GCF of 4248 and 4240

Related Greatest Common Factor of 4240

Related Greatest Common Factor of 4248

Frequently Asked Questions on GCF of 4240 and 4248

1. What is the GCF of 4240 and 4248?

Answer: GCF of 4240 and 4248 is 8.

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 4248?

Answer: Factors of 4248 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 59, 72, 118, 177, 236, 354, 472, 531, 708, 1062, 1416, 2124, 4248. There are 24 integers that are factors of 4248. The greatest factor of 4248 is 4248.

4. How to Find the GCF of 4240 and 4248?

Answer:

Greatest Common Factor of 4240 and 4248 = 8

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 4248

4248 = 2 x 2 x 2 x 3 x 3 x 59

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 4240 and 4248 is 8