Greatest Common Factor of 7354 and 7362

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 7354, 7362 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7354 and 7362 is 2.

GCF(7354,7362) = 2

GCF of 7354 and 7362

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

GCF of:
and

Greatest Common Factor of 7354 and 7362

GCF of 7354 and 7362 is 2

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

Prime Factorization of 7362


2 7362
3 3681
3 1227
409 409
1

Prime factors of 7362 are 2,3,409. Prime factorization of 7362 in exponential form is:

7362 = 21×32×4091

∴ So by taking common prime factors GCF of 7354 and 7362 is 2

Greatest Common Factor of 7354 and 7362 by matching factors method

Factors of 7354

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

1,2,3677,7354

Factors of 7362

List of positive integer factors of 7362 that divides 7362 without a remainder.

1,2,3,6,9,18,409,818,1227,2454,3681,7362

Greatest Common Factor

We found the factors and prime factorization of 7354 and 7362. The biggest common factor number is the GCF number.
So the greatest common factor 7354 and 7362 is 2.

Also check out the Least Common Multiple of 7354 and 7362

Properties of GCF 7354 and 7362

(i) The GCF of 7354 and 7362 is associative

GCF of 7354 and 7362 = GCF of 7362 and 7354

Related Greatest Common Factor of 7354

Related Greatest Common Factor of 7362

Frequently Asked Questions on GCF of 7354 and 7362

1. What is the GCF of 7354 and 7362?

Answer: GCF of 7354 and 7362 is 2.

2. 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.

3. What are the Factors of 7362?

Answer: Factors of 7362 are 1, 2, 3, 6, 9, 18, 409, 818, 1227, 2454, 3681, 7362. There are 12 integers that are factors of 7362. The greatest factor of 7362 is 7362.

4. How to Find the GCF of 7354 and 7362?

Answer:

Greatest Common Factor of 7354 and 7362 = 2

Step 1: Find the prime factorization of 7354

7354 = 2 x 3677

Step 2: Find the prime factorization of 7362

7362 = 2 x 3 x 3 x 409

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 7354 and 7362 is 2