Greatest Common Factor of 240 and 248

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 240, 248 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 240 and 248 is 8.

GCF(240,248) = 8

GCF of 240 and 248

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

GCF of:
and

Greatest Common Factor of 240 and 248

GCF of 240 and 248 is 8

Prime Factorization of 240


2 240
2 120
2 60
2 30
3 15
5 5
1

Prime factors of 240 are 2,3,5. Prime factorization of 240 in exponential form is:

240 = 24×31×51

Prime Factorization of 248


2 248
2 124
2 62
31 31
1

Prime factors of 248 are 2,31. Prime factorization of 248 in exponential form is:

248 = 23×311

∴ So by taking common prime factors GCF of 240 and 248 is 8

Greatest Common Factor of 240 and 248 by matching factors method

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Factors of 248

List of positive integer factors of 248 that divides 248 without a remainder.

1,2,4,8,31,62,124,248

Greatest Common Factor

We found the factors and prime factorization of 240 and 248. The biggest common factor number is the GCF number.
So the greatest common factor 240 and 248 is 8.

Also check out the Least Common Multiple of 240 and 248

Properties of GCF 240 and 248

(i) The GCF of 240 and 248 is associative

GCF of 240 and 248 = GCF of 248 and 240

Related Greatest Common Factor of 240

Related Greatest Common Factor of 248

Frequently Asked Questions on GCF of 240 and 248

1. What is the GCF of 240 and 248?

Answer: GCF of 240 and 248 is 8.

2. What are the Factors of 240?

Answer: Factors of 240 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240. There are 20 integers that are factors of 240. The greatest factor of 240 is 240.

3. What are the Factors of 248?

Answer: Factors of 248 are 1, 2, 4, 8, 31, 62, 124, 248. There are 8 integers that are factors of 248. The greatest factor of 248 is 248.

4. How to Find the GCF of 240 and 248?

Answer:

Greatest Common Factor of 240 and 248 = 8

Step 1: Find the prime factorization of 240

240 = 2 x 2 x 2 x 2 x 3 x 5

Step 2: Find the prime factorization of 248

248 = 2 x 2 x 2 x 31

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 240 and 248 is 8