Greatest Common Factor of 7342 and 7348

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, 7348 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7342 and 7348 is 2.

GCF(7342,7348) = 2

GCF of 7342 and 7348

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

GCF of:
and

Greatest Common Factor of 7342 and 7348

GCF of 7342 and 7348 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 7348


2 7348
2 3674
11 1837
167 167
1

Prime factors of 7348 are 2,11,167. Prime factorization of 7348 in exponential form is:

7348 = 22×111×1671

∴ So by taking common prime factors GCF of 7342 and 7348 is 2

Greatest Common Factor of 7342 and 7348 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 7348

List of positive integer factors of 7348 that divides 7348 without a remainder.

1,2,4,11,22,44,167,334,668,1837,3674,7348

Greatest Common Factor

We found the factors and prime factorization of 7342 and 7348. The biggest common factor number is the GCF number.
So the greatest common factor 7342 and 7348 is 2.

Also check out the Least Common Multiple of 7342 and 7348

Properties of GCF 7342 and 7348

(i) The GCF of 7342 and 7348 is associative

GCF of 7342 and 7348 = GCF of 7348 and 7342

Related Greatest Common Factor of 7342

Related Greatest Common Factor of 7348

Frequently Asked Questions on GCF of 7342 and 7348

1. What is the GCF of 7342 and 7348?

Answer: GCF of 7342 and 7348 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 7348?

Answer: Factors of 7348 are 1, 2, 4, 11, 22, 44, 167, 334, 668, 1837, 3674, 7348. There are 12 integers that are factors of 7348. The greatest factor of 7348 is 7348.

4. How to Find the GCF of 7342 and 7348?

Answer:

Greatest Common Factor of 7342 and 7348 = 2

Step 1: Find the prime factorization of 7342

7342 = 2 x 3671

Step 2: Find the prime factorization of 7348

7348 = 2 x 2 x 11 x 167

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 7348 is 2