Greatest Common Factor of 7374 and 7378

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 7374, 7378 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7374 and 7378 is 2.

GCF(7374,7378) = 2

GCF of 7374 and 7378

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

GCF of:
and

Greatest Common Factor of 7374 and 7378

GCF of 7374 and 7378 is 2

Prime Factorization of 7374


2 7374
3 3687
1229 1229
1

Prime factors of 7374 are 2,3,1229. Prime factorization of 7374 in exponential form is:

7374 = 21×31×12291

Prime Factorization of 7378


2 7378
7 3689
17 527
31 31
1

Prime factors of 7378 are 2,7,17,31. Prime factorization of 7378 in exponential form is:

7378 = 21×71×171×311

∴ So by taking common prime factors GCF of 7374 and 7378 is 2

Greatest Common Factor of 7374 and 7378 by matching factors method

Factors of 7374

List of positive integer factors of 7374 that divides 7374 without a remainder.

1,2,3,6,1229,2458,3687,7374

Factors of 7378

List of positive integer factors of 7378 that divides 7378 without a remainder.

1,2,7,14,17,31,34,62,119,217,238,434,527,1054,3689,7378

Greatest Common Factor

We found the factors and prime factorization of 7374 and 7378. The biggest common factor number is the GCF number.
So the greatest common factor 7374 and 7378 is 2.

Also check out the Least Common Multiple of 7374 and 7378

Properties of GCF 7374 and 7378

(i) The GCF of 7374 and 7378 is associative

GCF of 7374 and 7378 = GCF of 7378 and 7374

Related Greatest Common Factor of 7374

Related Greatest Common Factor of 7378

Frequently Asked Questions on GCF of 7374 and 7378

1. What is the GCF of 7374 and 7378?

Answer: GCF of 7374 and 7378 is 2.

2. What are the Factors of 7374?

Answer: Factors of 7374 are 1, 2, 3, 6, 1229, 2458, 3687, 7374. There are 8 integers that are factors of 7374. The greatest factor of 7374 is 7374.

3. What are the Factors of 7378?

Answer: Factors of 7378 are 1, 2, 7, 14, 17, 31, 34, 62, 119, 217, 238, 434, 527, 1054, 3689, 7378. There are 16 integers that are factors of 7378. The greatest factor of 7378 is 7378.

4. How to Find the GCF of 7374 and 7378?

Answer:

Greatest Common Factor of 7374 and 7378 = 2

Step 1: Find the prime factorization of 7374

7374 = 2 x 3 x 1229

Step 2: Find the prime factorization of 7378

7378 = 2 x 7 x 17 x 31

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 7374 and 7378 is 2