Greatest Common Factor of 7248 and 7254

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 7248, 7254 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7248 and 7254 is 6.

GCF(7248,7254) = 6

GCF of 7248 and 7254

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

GCF of:
and

Greatest Common Factor of 7248 and 7254

GCF of 7248 and 7254 is 6

Prime Factorization of 7248


2 7248
2 3624
2 1812
2 906
3 453
151 151
1

Prime factors of 7248 are 2,3,151. Prime factorization of 7248 in exponential form is:

7248 = 24×31×1511

Prime Factorization of 7254


2 7254
3 3627
3 1209
13 403
31 31
1

Prime factors of 7254 are 2,3,13,31. Prime factorization of 7254 in exponential form is:

7254 = 21×32×131×311

∴ So by taking common prime factors GCF of 7248 and 7254 is 6

Greatest Common Factor of 7248 and 7254 by matching factors method

Factors of 7248

List of positive integer factors of 7248 that divides 7248 without a remainder.

1,2,3,4,6,8,12,16,24,48,151,302,453,604,906,1208,1812,2416,3624,7248

Factors of 7254

List of positive integer factors of 7254 that divides 7254 without a remainder.

1,2,3,6,9,13,18,26,31,39,62,78,93,117,186,234,279,403,558,806,1209,2418,3627,7254

Greatest Common Factor

We found the factors and prime factorization of 7248 and 7254. The biggest common factor number is the GCF number.
So the greatest common factor 7248 and 7254 is 6.

Also check out the Least Common Multiple of 7248 and 7254

Properties of GCF 7248 and 7254

(i) The GCF of 7248 and 7254 is associative

GCF of 7248 and 7254 = GCF of 7254 and 7248

Related Greatest Common Factor of 7248

Related Greatest Common Factor of 7254

Frequently Asked Questions on GCF of 7248 and 7254

1. What is the GCF of 7248 and 7254?

Answer: GCF of 7248 and 7254 is 6.

2. What are the Factors of 7248?

Answer: Factors of 7248 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 151, 302, 453, 604, 906, 1208, 1812, 2416, 3624, 7248. There are 20 integers that are factors of 7248. The greatest factor of 7248 is 7248.

3. What are the Factors of 7254?

Answer: Factors of 7254 are 1, 2, 3, 6, 9, 13, 18, 26, 31, 39, 62, 78, 93, 117, 186, 234, 279, 403, 558, 806, 1209, 2418, 3627, 7254. There are 24 integers that are factors of 7254. The greatest factor of 7254 is 7254.

4. How to Find the GCF of 7248 and 7254?

Answer:

Greatest Common Factor of 7248 and 7254 = 6

Step 1: Find the prime factorization of 7248

7248 = 2 x 2 x 2 x 2 x 3 x 151

Step 2: Find the prime factorization of 7254

7254 = 2 x 3 x 3 x 13 x 31

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 7248 and 7254 is 6