Greatest Common Factor of 7332 and 7334

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, 7334 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7332 and 7334 is 2.

GCF(7332,7334) = 2

GCF of 7332 and 7334

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

GCF of:
and

Greatest Common Factor of 7332 and 7334

GCF of 7332 and 7334 is 2

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 7334


2 7334
19 3667
193 193
1

Prime factors of 7334 are 2,19,193. Prime factorization of 7334 in exponential form is:

7334 = 21×191×1931

∴ So by taking common prime factors GCF of 7332 and 7334 is 2

Greatest Common Factor of 7332 and 7334 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 7334

List of positive integer factors of 7334 that divides 7334 without a remainder.

1,2,19,38,193,386,3667,7334

Greatest Common Factor

We found the factors and prime factorization of 7332 and 7334. The biggest common factor number is the GCF number.
So the greatest common factor 7332 and 7334 is 2.

Also check out the Least Common Multiple of 7332 and 7334

Properties of GCF 7332 and 7334

(i) The GCF of 7332 and 7334 is associative

GCF of 7332 and 7334 = GCF of 7334 and 7332

Related Greatest Common Factor of 7332

Related Greatest Common Factor of 7334

Frequently Asked Questions on GCF of 7332 and 7334

1. What is the GCF of 7332 and 7334?

Answer: GCF of 7332 and 7334 is 2.

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 7334?

Answer: Factors of 7334 are 1, 2, 19, 38, 193, 386, 3667, 7334. There are 8 integers that are factors of 7334. The greatest factor of 7334 is 7334.

4. How to Find the GCF of 7332 and 7334?

Answer:

Greatest Common Factor of 7332 and 7334 = 2

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 7334

7334 = 2 x 19 x 193

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 7332 and 7334 is 2