Greatest Common Factor of 7366 and 7374

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 7366, 7374 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7366 and 7374 is 2.

GCF(7366,7374) = 2

GCF of 7366 and 7374

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

GCF of:
and

Greatest Common Factor of 7366 and 7374

GCF of 7366 and 7374 is 2

Prime Factorization of 7366


2 7366
29 3683
127 127
1

Prime factors of 7366 are 2,29,127. Prime factorization of 7366 in exponential form is:

7366 = 21×291×1271

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

∴ So by taking common prime factors GCF of 7366 and 7374 is 2

Greatest Common Factor of 7366 and 7374 by matching factors method

Factors of 7366

List of positive integer factors of 7366 that divides 7366 without a remainder.

1,2,29,58,127,254,3683,7366

Factors of 7374

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

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

Greatest Common Factor

We found the factors and prime factorization of 7366 and 7374. The biggest common factor number is the GCF number.
So the greatest common factor 7366 and 7374 is 2.

Also check out the Least Common Multiple of 7366 and 7374

Properties of GCF 7366 and 7374

(i) The GCF of 7366 and 7374 is associative

GCF of 7366 and 7374 = GCF of 7374 and 7366

Related Greatest Common Factor of 7366

Related Greatest Common Factor of 7374

Frequently Asked Questions on GCF of 7366 and 7374

1. What is the GCF of 7366 and 7374?

Answer: GCF of 7366 and 7374 is 2.

2. What are the Factors of 7366?

Answer: Factors of 7366 are 1, 2, 29, 58, 127, 254, 3683, 7366. There are 8 integers that are factors of 7366. The greatest factor of 7366 is 7366.

3. 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.

4. How to Find the GCF of 7366 and 7374?

Answer:

Greatest Common Factor of 7366 and 7374 = 2

Step 1: Find the prime factorization of 7366

7366 = 2 x 29 x 127

Step 2: Find the prime factorization of 7374

7374 = 2 x 3 x 1229

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 7366 and 7374 is 2