Greatest Common Factor of 7276 and 7284

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 7276, 7284 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7276 and 7284 is 4.

GCF(7276,7284) = 4

GCF of 7276 and 7284

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

GCF of:
and

Greatest Common Factor of 7276 and 7284

GCF of 7276 and 7284 is 4

Prime Factorization of 7276


2 7276
2 3638
17 1819
107 107
1

Prime factors of 7276 are 2,17,107. Prime factorization of 7276 in exponential form is:

7276 = 22×171×1071

Prime Factorization of 7284


2 7284
2 3642
3 1821
607 607
1

Prime factors of 7284 are 2,3,607. Prime factorization of 7284 in exponential form is:

7284 = 22×31×6071

∴ So by taking common prime factors GCF of 7276 and 7284 is 4

Greatest Common Factor of 7276 and 7284 by matching factors method

Factors of 7276

List of positive integer factors of 7276 that divides 7276 without a remainder.

1,2,4,17,34,68,107,214,428,1819,3638,7276

Factors of 7284

List of positive integer factors of 7284 that divides 7284 without a remainder.

1,2,3,4,6,12,607,1214,1821,2428,3642,7284

Greatest Common Factor

We found the factors and prime factorization of 7276 and 7284. The biggest common factor number is the GCF number.
So the greatest common factor 7276 and 7284 is 4.

Also check out the Least Common Multiple of 7276 and 7284

Properties of GCF 7276 and 7284

(i) The GCF of 7276 and 7284 is associative

GCF of 7276 and 7284 = GCF of 7284 and 7276

Related Greatest Common Factor of 7276

Related Greatest Common Factor of 7284

Frequently Asked Questions on GCF of 7276 and 7284

1. What is the GCF of 7276 and 7284?

Answer: GCF of 7276 and 7284 is 4.

2. What are the Factors of 7276?

Answer: Factors of 7276 are 1, 2, 4, 17, 34, 68, 107, 214, 428, 1819, 3638, 7276. There are 12 integers that are factors of 7276. The greatest factor of 7276 is 7276.

3. What are the Factors of 7284?

Answer: Factors of 7284 are 1, 2, 3, 4, 6, 12, 607, 1214, 1821, 2428, 3642, 7284. There are 12 integers that are factors of 7284. The greatest factor of 7284 is 7284.

4. How to Find the GCF of 7276 and 7284?

Answer:

Greatest Common Factor of 7276 and 7284 = 4

Step 1: Find the prime factorization of 7276

7276 = 2 x 2 x 17 x 107

Step 2: Find the prime factorization of 7284

7284 = 2 x 2 x 3 x 607

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 7276 and 7284 is 4