Greatest Common Factor of 7266 and 7274

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 7266, 7274 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7266 and 7274 is 2.

GCF(7266,7274) = 2

GCF of 7266 and 7274

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

GCF of:
and

Greatest Common Factor of 7266 and 7274

GCF of 7266 and 7274 is 2

Prime Factorization of 7266


2 7266
3 3633
7 1211
173 173
1

Prime factors of 7266 are 2,3,7,173. Prime factorization of 7266 in exponential form is:

7266 = 21×31×71×1731

Prime Factorization of 7274


2 7274
3637 3637
1

Prime factors of 7274 are 2,3637. Prime factorization of 7274 in exponential form is:

7274 = 21×36371

∴ So by taking common prime factors GCF of 7266 and 7274 is 2

Greatest Common Factor of 7266 and 7274 by matching factors method

Factors of 7266

List of positive integer factors of 7266 that divides 7266 without a remainder.

1,2,3,6,7,14,21,42,173,346,519,1038,1211,2422,3633,7266

Factors of 7274

List of positive integer factors of 7274 that divides 7274 without a remainder.

1,2,3637,7274

Greatest Common Factor

We found the factors and prime factorization of 7266 and 7274. The biggest common factor number is the GCF number.
So the greatest common factor 7266 and 7274 is 2.

Also check out the Least Common Multiple of 7266 and 7274

Properties of GCF 7266 and 7274

(i) The GCF of 7266 and 7274 is associative

GCF of 7266 and 7274 = GCF of 7274 and 7266

Related Greatest Common Factor of 7266

Related Greatest Common Factor of 7274

Frequently Asked Questions on GCF of 7266 and 7274

1. What is the GCF of 7266 and 7274?

Answer: GCF of 7266 and 7274 is 2.

2. What are the Factors of 7266?

Answer: Factors of 7266 are 1, 2, 3, 6, 7, 14, 21, 42, 173, 346, 519, 1038, 1211, 2422, 3633, 7266. There are 16 integers that are factors of 7266. The greatest factor of 7266 is 7266.

3. What are the Factors of 7274?

Answer: Factors of 7274 are 1, 2, 3637, 7274. There are 4 integers that are factors of 7274. The greatest factor of 7274 is 7274.

4. How to Find the GCF of 7266 and 7274?

Answer:

Greatest Common Factor of 7266 and 7274 = 2

Step 1: Find the prime factorization of 7266

7266 = 2 x 3 x 7 x 173

Step 2: Find the prime factorization of 7274

7274 = 2 x 3637

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

GCF = 2

Step 4: Therefore, the greatest common factor of 7266 and 7274 is 2