Greatest Common Factor of 5240 and 5245

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 5240, 5245 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5240 and 5245 is 5.

GCF(5240,5245) = 5

GCF of 5240 and 5245

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

GCF of:
and

Greatest Common Factor of 5240 and 5245

GCF of 5240 and 5245 is 5

Prime Factorization of 5240


2 5240
2 2620
2 1310
5 655
131 131
1

Prime factors of 5240 are 2,5,131. Prime factorization of 5240 in exponential form is:

5240 = 23×51×1311

Prime Factorization of 5245


5 5245
1049 1049
1

Prime factors of 5245 are 5,1049. Prime factorization of 5245 in exponential form is:

5245 = 51×10491

∴ So by taking common prime factors GCF of 5240 and 5245 is 5

Greatest Common Factor of 5240 and 5245 by matching factors method

Factors of 5240

List of positive integer factors of 5240 that divides 5240 without a remainder.

1,2,4,5,8,10,20,40,131,262,524,655,1048,1310,2620,5240

Factors of 5245

List of positive integer factors of 5245 that divides 5245 without a remainder.

1,5,1049,5245

Greatest Common Factor

We found the factors and prime factorization of 5240 and 5245. The biggest common factor number is the GCF number.
So the greatest common factor 5240 and 5245 is 5.

Also check out the Least Common Multiple of 5240 and 5245

Properties of GCF 5240 and 5245

(i) The GCF of 5240 and 5245 is associative

GCF of 5240 and 5245 = GCF of 5245 and 5240

Related Greatest Common Factor of 5240

Related Greatest Common Factor of 5245

Frequently Asked Questions on GCF of 5240 and 5245

1. What is the GCF of 5240 and 5245?

Answer: GCF of 5240 and 5245 is 5.

2. What are the Factors of 5240?

Answer: Factors of 5240 are 1, 2, 4, 5, 8, 10, 20, 40, 131, 262, 524, 655, 1048, 1310, 2620, 5240. There are 16 integers that are factors of 5240. The greatest factor of 5240 is 5240.

3. What are the Factors of 5245?

Answer: Factors of 5245 are 1, 5, 1049, 5245. There are 4 integers that are factors of 5245. The greatest factor of 5245 is 5245.

4. How to Find the GCF of 5240 and 5245?

Answer:

Greatest Common Factor of 5240 and 5245 = 5

Step 1: Find the prime factorization of 5240

5240 = 2 x 2 x 2 x 5 x 131

Step 2: Find the prime factorization of 5245

5245 = 5 x 1049

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 5240 and 5245 is 5