Greatest Common Factor of 7274 and 7278

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 7274, 7278 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7274 and 7278 is 2.

GCF(7274,7278) = 2

GCF of 7274 and 7278

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

GCF of:
and

Greatest Common Factor of 7274 and 7278

GCF of 7274 and 7278 is 2

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

Prime Factorization of 7278


2 7278
3 3639
1213 1213
1

Prime factors of 7278 are 2,3,1213. Prime factorization of 7278 in exponential form is:

7278 = 21×31×12131

∴ So by taking common prime factors GCF of 7274 and 7278 is 2

Greatest Common Factor of 7274 and 7278 by matching factors method

Factors of 7274

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

1,2,3637,7274

Factors of 7278

List of positive integer factors of 7278 that divides 7278 without a remainder.

1,2,3,6,1213,2426,3639,7278

Greatest Common Factor

We found the factors and prime factorization of 7274 and 7278. The biggest common factor number is the GCF number.
So the greatest common factor 7274 and 7278 is 2.

Also check out the Least Common Multiple of 7274 and 7278

Properties of GCF 7274 and 7278

(i) The GCF of 7274 and 7278 is associative

GCF of 7274 and 7278 = GCF of 7278 and 7274

Related Greatest Common Factor of 7274

Related Greatest Common Factor of 7278

Frequently Asked Questions on GCF of 7274 and 7278

1. What is the GCF of 7274 and 7278?

Answer: GCF of 7274 and 7278 is 2.

2. 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.

3. What are the Factors of 7278?

Answer: Factors of 7278 are 1, 2, 3, 6, 1213, 2426, 3639, 7278. There are 8 integers that are factors of 7278. The greatest factor of 7278 is 7278.

4. How to Find the GCF of 7274 and 7278?

Answer:

Greatest Common Factor of 7274 and 7278 = 2

Step 1: Find the prime factorization of 7274

7274 = 2 x 3637

Step 2: Find the prime factorization of 7278

7278 = 2 x 3 x 1213

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 7274 and 7278 is 2