Greatest Common Factor of 240 and 245

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

Greatest common factor (GCF) of 240 and 245 is 5.

GCF(240,245) = 5

GCF of 240 and 245

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

GCF of:
and

Greatest Common Factor of 240 and 245

GCF of 240 and 245 is 5

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 245


5 245
7 49
7 7
1

Prime factors of 245 are 5,7. Prime factorization of 245 in exponential form is:

245 = 51×72

∴ So by taking common prime factors GCF of 240 and 245 is 5

Greatest Common Factor of 240 and 245 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 245

List of positive integer factors of 245 that divides 245 without a remainder.

1,5,7,35,49,245

Greatest Common Factor

We found the factors and prime factorization of 240 and 245. The biggest common factor number is the GCF number.
So the greatest common factor 240 and 245 is 5.

Also check out the Least Common Multiple of 240 and 245

Properties of GCF 240 and 245

(i) The GCF of 240 and 245 is associative

GCF of 240 and 245 = GCF of 245 and 240

Related Greatest Common Factor of 240

Related Greatest Common Factor of 245

Frequently Asked Questions on GCF of 240 and 245

1. What is the GCF of 240 and 245?

Answer: GCF of 240 and 245 is 5.

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 245?

Answer: Factors of 245 are 1, 5, 7, 35, 49, 245. There are 6 integers that are factors of 245. The greatest factor of 245 is 245.

4. How to Find the GCF of 240 and 245?

Answer:

Greatest Common Factor of 240 and 245 = 5

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 245

245 = 5 x 7 x 7

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 240 and 245 is 5