Greatest Common Factor of 7350 and 7354

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 7350, 7354 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7350 and 7354 is 2.

GCF(7350,7354) = 2

GCF of 7350 and 7354

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

GCF of:
and

Greatest Common Factor of 7350 and 7354

GCF of 7350 and 7354 is 2

Prime Factorization of 7350


2 7350
3 3675
5 1225
5 245
7 49
7 7
1

Prime factors of 7350 are 2,3,5,7. Prime factorization of 7350 in exponential form is:

7350 = 21×31×52×72

Prime Factorization of 7354


2 7354
3677 3677
1

Prime factors of 7354 are 2,3677. Prime factorization of 7354 in exponential form is:

7354 = 21×36771

∴ So by taking common prime factors GCF of 7350 and 7354 is 2

Greatest Common Factor of 7350 and 7354 by matching factors method

Factors of 7350

List of positive integer factors of 7350 that divides 7350 without a remainder.

1,2,3,5,6,7,10,14,15,21,25,30,35,42,49,50,70,75,98,105,147,150,175,210,245,294,350,490,525,735,1050,1225,1470,2450,3675,7350

Factors of 7354

List of positive integer factors of 7354 that divides 7354 without a remainder.

1,2,3677,7354

Greatest Common Factor

We found the factors and prime factorization of 7350 and 7354. The biggest common factor number is the GCF number.
So the greatest common factor 7350 and 7354 is 2.

Also check out the Least Common Multiple of 7350 and 7354

Properties of GCF 7350 and 7354

(i) The GCF of 7350 and 7354 is associative

GCF of 7350 and 7354 = GCF of 7354 and 7350

Related Greatest Common Factor of 7350

Related Greatest Common Factor of 7354

Frequently Asked Questions on GCF of 7350 and 7354

1. What is the GCF of 7350 and 7354?

Answer: GCF of 7350 and 7354 is 2.

2. What are the Factors of 7350?

Answer: Factors of 7350 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 49, 50, 70, 75, 98, 105, 147, 150, 175, 210, 245, 294, 350, 490, 525, 735, 1050, 1225, 1470, 2450, 3675, 7350. There are 36 integers that are factors of 7350. The greatest factor of 7350 is 7350.

3. What are the Factors of 7354?

Answer: Factors of 7354 are 1, 2, 3677, 7354. There are 4 integers that are factors of 7354. The greatest factor of 7354 is 7354.

4. How to Find the GCF of 7350 and 7354?

Answer:

Greatest Common Factor of 7350 and 7354 = 2

Step 1: Find the prime factorization of 7350

7350 = 2 x 3 x 5 x 5 x 7 x 7

Step 2: Find the prime factorization of 7354

7354 = 2 x 3677

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 7350 and 7354 is 2