Greatest Common Factor of 7342 and 7350

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 7342, 7350 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7342 and 7350 is 2.

GCF(7342,7350) = 2

GCF of 7342 and 7350

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

GCF of:
and

Greatest Common Factor of 7342 and 7350

GCF of 7342 and 7350 is 2

Prime Factorization of 7342


2 7342
3671 3671
1

Prime factors of 7342 are 2,3671. Prime factorization of 7342 in exponential form is:

7342 = 21×36711

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

∴ So by taking common prime factors GCF of 7342 and 7350 is 2

Greatest Common Factor of 7342 and 7350 by matching factors method

Factors of 7342

List of positive integer factors of 7342 that divides 7342 without a remainder.

1,2,3671,7342

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

Greatest Common Factor

We found the factors and prime factorization of 7342 and 7350. The biggest common factor number is the GCF number.
So the greatest common factor 7342 and 7350 is 2.

Also check out the Least Common Multiple of 7342 and 7350

Properties of GCF 7342 and 7350

(i) The GCF of 7342 and 7350 is associative

GCF of 7342 and 7350 = GCF of 7350 and 7342

Related Greatest Common Factor of 7342

Related Greatest Common Factor of 7350

Frequently Asked Questions on GCF of 7342 and 7350

1. What is the GCF of 7342 and 7350?

Answer: GCF of 7342 and 7350 is 2.

2. What are the Factors of 7342?

Answer: Factors of 7342 are 1, 2, 3671, 7342. There are 4 integers that are factors of 7342. The greatest factor of 7342 is 7342.

3. 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.

4. How to Find the GCF of 7342 and 7350?

Answer:

Greatest Common Factor of 7342 and 7350 = 2

Step 1: Find the prime factorization of 7342

7342 = 2 x 3671

Step 2: Find the prime factorization of 7350

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

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 7342 and 7350 is 2