Greatest Common Factor of 6244 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 6244, 6248 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6244 and 6248 is 4.

GCF(6244,6248) = 4

GCF of 6244 and 6248

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

GCF of:
and

Greatest Common Factor of 6244 and 6248

GCF of 6244 and 6248 is 4

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

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 6244 and 6248 is 4

Greatest Common Factor of 6244 and 6248 by matching factors method

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

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 6244 and 6248. The biggest common factor number is the GCF number.
So the greatest common factor 6244 and 6248 is 4.

Also check out the Least Common Multiple of 6244 and 6248

Properties of GCF 6244 and 6248

(i) The GCF of 6244 and 6248 is associative

GCF of 6244 and 6248 = GCF of 6248 and 6244

Related Greatest Common Factor of 6244

Related Greatest Common Factor of 6248

Frequently Asked Questions on GCF of 6244 and 6248

1. What is the GCF of 6244 and 6248?

Answer: GCF of 6244 and 6248 is 4.

2. 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.

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 6244 and 6248?

Answer:

Greatest Common Factor of 6244 and 6248 = 4

Step 1: Find the prime factorization of 6244

6244 = 2 x 2 x 7 x 223

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 = 4

Step 4: Therefore, the greatest common factor of 6244 and 6248 is 4