Greatest Common Factor of 6240 and 6248

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, 6248 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6240 and 6248 is 8.

GCF(6240,6248) = 8

GCF of 6240 and 6248

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

GCF of:
and

Greatest Common Factor of 6240 and 6248

GCF of 6240 and 6248 is 8

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 6248


2 6248
2 3124
2 1562
11 781
71 71
1

Prime factors of 6248 are 2,11,71. Prime factorization of 6248 in exponential form is:

6248 = 23×111×711

∴ So by taking common prime factors GCF of 6240 and 6248 is 8

Greatest Common Factor of 6240 and 6248 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 6248

List of positive integer factors of 6248 that divides 6248 without a remainder.

1,2,4,8,11,22,44,71,88,142,284,568,781,1562,3124,6248

Greatest Common Factor

We found the factors and prime factorization of 6240 and 6248. The biggest common factor number is the GCF number.
So the greatest common factor 6240 and 6248 is 8.

Also check out the Least Common Multiple of 6240 and 6248

Properties of GCF 6240 and 6248

(i) The GCF of 6240 and 6248 is associative

GCF of 6240 and 6248 = GCF of 6248 and 6240

Related Greatest Common Factor of 6240

Related Greatest Common Factor of 6248

Frequently Asked Questions on GCF of 6240 and 6248

1. What is the GCF of 6240 and 6248?

Answer: GCF of 6240 and 6248 is 8.

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 6248?

Answer: Factors of 6248 are 1, 2, 4, 8, 11, 22, 44, 71, 88, 142, 284, 568, 781, 1562, 3124, 6248. There are 16 integers that are factors of 6248. The greatest factor of 6248 is 6248.

4. How to Find the GCF of 6240 and 6248?

Answer:

Greatest Common Factor of 6240 and 6248 = 8

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 6248

6248 = 2 x 2 x 2 x 11 x 71

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 6240 and 6248 is 8