Greatest Common Factor of 1240 and 1245

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 1240, 1245 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1240 and 1245 is 5.

GCF(1240,1245) = 5

GCF of 1240 and 1245

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

GCF of:
and

Greatest Common Factor of 1240 and 1245

GCF of 1240 and 1245 is 5

Prime Factorization of 1240


2 1240
2 620
2 310
5 155
31 31
1

Prime factors of 1240 are 2,5,31. Prime factorization of 1240 in exponential form is:

1240 = 23×51×311

Prime Factorization of 1245


3 1245
5 415
83 83
1

Prime factors of 1245 are 3,5,83. Prime factorization of 1245 in exponential form is:

1245 = 31×51×831

∴ So by taking common prime factors GCF of 1240 and 1245 is 5

Greatest Common Factor of 1240 and 1245 by matching factors method

Factors of 1240

List of positive integer factors of 1240 that divides 1240 without a remainder.

1,2,4,5,8,10,20,31,40,62,124,155,248,310,620,1240

Factors of 1245

List of positive integer factors of 1245 that divides 1245 without a remainder.

1,3,5,15,83,249,415,1245

Greatest Common Factor

We found the factors and prime factorization of 1240 and 1245. The biggest common factor number is the GCF number.
So the greatest common factor 1240 and 1245 is 5.

Also check out the Least Common Multiple of 1240 and 1245

Properties of GCF 1240 and 1245

(i) The GCF of 1240 and 1245 is associative

GCF of 1240 and 1245 = GCF of 1245 and 1240

Related Greatest Common Factor of 1240

Related Greatest Common Factor of 1245

Frequently Asked Questions on GCF of 1240 and 1245

1. What is the GCF of 1240 and 1245?

Answer: GCF of 1240 and 1245 is 5.

2. What are the Factors of 1240?

Answer: Factors of 1240 are 1, 2, 4, 5, 8, 10, 20, 31, 40, 62, 124, 155, 248, 310, 620, 1240. There are 16 integers that are factors of 1240. The greatest factor of 1240 is 1240.

3. What are the Factors of 1245?

Answer: Factors of 1245 are 1, 3, 5, 15, 83, 249, 415, 1245. There are 8 integers that are factors of 1245. The greatest factor of 1245 is 1245.

4. How to Find the GCF of 1240 and 1245?

Answer:

Greatest Common Factor of 1240 and 1245 = 5

Step 1: Find the prime factorization of 1240

1240 = 2 x 2 x 2 x 5 x 31

Step 2: Find the prime factorization of 1245

1245 = 3 x 5 x 83

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 1240 and 1245 is 5