Greatest Common Factor of 7374 and 7376

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, 7376 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7374 and 7376 is 2.

GCF(7374,7376) = 2

GCF of 7374 and 7376

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

GCF of:
and

Greatest Common Factor of 7374 and 7376

GCF of 7374 and 7376 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 7376


2 7376
2 3688
2 1844
2 922
461 461
1

Prime factors of 7376 are 2,461. Prime factorization of 7376 in exponential form is:

7376 = 24×4611

∴ So by taking common prime factors GCF of 7374 and 7376 is 2

Greatest Common Factor of 7374 and 7376 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 7376

List of positive integer factors of 7376 that divides 7376 without a remainder.

1,2,4,8,16,461,922,1844,3688,7376

Greatest Common Factor

We found the factors and prime factorization of 7374 and 7376. The biggest common factor number is the GCF number.
So the greatest common factor 7374 and 7376 is 2.

Also check out the Least Common Multiple of 7374 and 7376

Properties of GCF 7374 and 7376

(i) The GCF of 7374 and 7376 is associative

GCF of 7374 and 7376 = GCF of 7376 and 7374

Related Greatest Common Factor of 7374

Related Greatest Common Factor of 7376

Frequently Asked Questions on GCF of 7374 and 7376

1. What is the GCF of 7374 and 7376?

Answer: GCF of 7374 and 7376 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 7376?

Answer: Factors of 7376 are 1, 2, 4, 8, 16, 461, 922, 1844, 3688, 7376. There are 10 integers that are factors of 7376. The greatest factor of 7376 is 7376.

4. How to Find the GCF of 7374 and 7376?

Answer:

Greatest Common Factor of 7374 and 7376 = 2

Step 1: Find the prime factorization of 7374

7374 = 2 x 3 x 1229

Step 2: Find the prime factorization of 7376

7376 = 2 x 2 x 2 x 2 x 461

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 7376 is 2