Greatest Common Factor of 6240 and 6245

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 6240, 6245 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6240 and 6245 is 5.

GCF(6240,6245) = 5

GCF of 6240 and 6245

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

GCF of:
and

Greatest Common Factor of 6240 and 6245

GCF of 6240 and 6245 is 5

Prime Factorization of 6240


2 6240
2 3120
2 1560
2 780
2 390
3 195
5 65
13 13
1

Prime factors of 6240 are 2,3,5,13. Prime factorization of 6240 in exponential form is:

6240 = 25×31×51×131

Prime Factorization of 6245


5 6245
1249 1249
1

Prime factors of 6245 are 5,1249. Prime factorization of 6245 in exponential form is:

6245 = 51×12491

∴ So by taking common prime factors GCF of 6240 and 6245 is 5

Greatest Common Factor of 6240 and 6245 by matching factors method

Factors of 6240

List of positive integer factors of 6240 that divides 6240 without a remainder.

1,2,3,4,5,6,8,10,12,13,15,16,20,24,26,30,32,39,40,48,52,60,65,78,80,96,104,120,130,156,160,195,208,240,260,312,390,416,480,520,624,780,1040,1248,1560,2080,3120,6240

Factors of 6245

List of positive integer factors of 6245 that divides 6245 without a remainder.

1,5,1249,6245

Greatest Common Factor

We found the factors and prime factorization of 6240 and 6245. The biggest common factor number is the GCF number.
So the greatest common factor 6240 and 6245 is 5.

Also check out the Least Common Multiple of 6240 and 6245

Properties of GCF 6240 and 6245

(i) The GCF of 6240 and 6245 is associative

GCF of 6240 and 6245 = GCF of 6245 and 6240

Related Greatest Common Factor of 6240

Related Greatest Common Factor of 6245

Frequently Asked Questions on GCF of 6240 and 6245

1. What is the GCF of 6240 and 6245?

Answer: GCF of 6240 and 6245 is 5.

2. What are the Factors of 6240?

Answer: Factors of 6240 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 20, 24, 26, 30, 32, 39, 40, 48, 52, 60, 65, 78, 80, 96, 104, 120, 130, 156, 160, 195, 208, 240, 260, 312, 390, 416, 480, 520, 624, 780, 1040, 1248, 1560, 2080, 3120, 6240. There are 48 integers that are factors of 6240. The greatest factor of 6240 is 6240.

3. What are the Factors of 6245?

Answer: Factors of 6245 are 1, 5, 1249, 6245. There are 4 integers that are factors of 6245. The greatest factor of 6245 is 6245.

4. How to Find the GCF of 6240 and 6245?

Answer:

Greatest Common Factor of 6240 and 6245 = 5

Step 1: Find the prime factorization of 6240

6240 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 13

Step 2: Find the prime factorization of 6245

6245 = 5 x 1249

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 6240 and 6245 is 5