Greatest Common Factor of 6240 and 6244

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, 6244 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6240 and 6244 is 4.

GCF(6240,6244) = 4

GCF of 6240 and 6244

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

GCF of:
and

Greatest Common Factor of 6240 and 6244

GCF of 6240 and 6244 is 4

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 6244


2 6244
2 3122
7 1561
223 223
1

Prime factors of 6244 are 2,7,223. Prime factorization of 6244 in exponential form is:

6244 = 22×71×2231

∴ So by taking common prime factors GCF of 6240 and 6244 is 4

Greatest Common Factor of 6240 and 6244 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 6244

List of positive integer factors of 6244 that divides 6244 without a remainder.

1,2,4,7,14,28,223,446,892,1561,3122,6244

Greatest Common Factor

We found the factors and prime factorization of 6240 and 6244. The biggest common factor number is the GCF number.
So the greatest common factor 6240 and 6244 is 4.

Also check out the Least Common Multiple of 6240 and 6244

Properties of GCF 6240 and 6244

(i) The GCF of 6240 and 6244 is associative

GCF of 6240 and 6244 = GCF of 6244 and 6240

Related Greatest Common Factor of 6240

Related Greatest Common Factor of 6244

Frequently Asked Questions on GCF of 6240 and 6244

1. What is the GCF of 6240 and 6244?

Answer: GCF of 6240 and 6244 is 4.

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 6244?

Answer: Factors of 6244 are 1, 2, 4, 7, 14, 28, 223, 446, 892, 1561, 3122, 6244. There are 12 integers that are factors of 6244. The greatest factor of 6244 is 6244.

4. How to Find the GCF of 6240 and 6244?

Answer:

Greatest Common Factor of 6240 and 6244 = 4

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 6244

6244 = 2 x 2 x 7 x 223

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 6240 and 6244 is 4