Greatest Common Factor of 7332 and 7335

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 7332, 7335 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7332 and 7335 is 3.

GCF(7332,7335) = 3

GCF of 7332 and 7335

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

GCF of:
and

Greatest Common Factor of 7332 and 7335

GCF of 7332 and 7335 is 3

Prime Factorization of 7332


2 7332
2 3666
3 1833
13 611
47 47
1

Prime factors of 7332 are 2,3,13,47. Prime factorization of 7332 in exponential form is:

7332 = 22×31×131×471

Prime Factorization of 7335


3 7335
3 2445
5 815
163 163
1

Prime factors of 7335 are 3,5,163. Prime factorization of 7335 in exponential form is:

7335 = 32×51×1631

∴ So by taking common prime factors GCF of 7332 and 7335 is 3

Greatest Common Factor of 7332 and 7335 by matching factors method

Factors of 7332

List of positive integer factors of 7332 that divides 7332 without a remainder.

1,2,3,4,6,12,13,26,39,47,52,78,94,141,156,188,282,564,611,1222,1833,2444,3666,7332

Factors of 7335

List of positive integer factors of 7335 that divides 7335 without a remainder.

1,3,5,9,15,45,163,489,815,1467,2445,7335

Greatest Common Factor

We found the factors and prime factorization of 7332 and 7335. The biggest common factor number is the GCF number.
So the greatest common factor 7332 and 7335 is 3.

Also check out the Least Common Multiple of 7332 and 7335

Properties of GCF 7332 and 7335

(i) The GCF of 7332 and 7335 is associative

GCF of 7332 and 7335 = GCF of 7335 and 7332

Related Greatest Common Factor of 7332

Related Greatest Common Factor of 7335

Frequently Asked Questions on GCF of 7332 and 7335

1. What is the GCF of 7332 and 7335?

Answer: GCF of 7332 and 7335 is 3.

2. What are the Factors of 7332?

Answer: Factors of 7332 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 47, 52, 78, 94, 141, 156, 188, 282, 564, 611, 1222, 1833, 2444, 3666, 7332. There are 24 integers that are factors of 7332. The greatest factor of 7332 is 7332.

3. What are the Factors of 7335?

Answer: Factors of 7335 are 1, 3, 5, 9, 15, 45, 163, 489, 815, 1467, 2445, 7335. There are 12 integers that are factors of 7335. The greatest factor of 7335 is 7335.

4. How to Find the GCF of 7332 and 7335?

Answer:

Greatest Common Factor of 7332 and 7335 = 3

Step 1: Find the prime factorization of 7332

7332 = 2 x 2 x 3 x 13 x 47

Step 2: Find the prime factorization of 7335

7335 = 3 x 3 x 5 x 163

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 7332 and 7335 is 3