Greatest Common Factor of 3432 and 3438

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 3432, 3438 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3432 and 3438 is 6.

GCF(3432,3438) = 6

GCF of 3432 and 3438

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

GCF of:
and

Greatest Common Factor of 3432 and 3438

GCF of 3432 and 3438 is 6

Prime Factorization of 3432


2 3432
2 1716
2 858
3 429
11 143
13 13
1

Prime factors of 3432 are 2,3,11,13. Prime factorization of 3432 in exponential form is:

3432 = 23×31×111×131

Prime Factorization of 3438


2 3438
3 1719
3 573
191 191
1

Prime factors of 3438 are 2,3,191. Prime factorization of 3438 in exponential form is:

3438 = 21×32×1911

∴ So by taking common prime factors GCF of 3432 and 3438 is 6

Greatest Common Factor of 3432 and 3438 by matching factors method

Factors of 3432

List of positive integer factors of 3432 that divides 3432 without a remainder.

1,2,3,4,6,8,11,12,13,22,24,26,33,39,44,52,66,78,88,104,132,143,156,264,286,312,429,572,858,1144,1716,3432

Factors of 3438

List of positive integer factors of 3438 that divides 3438 without a remainder.

1,2,3,6,9,18,191,382,573,1146,1719,3438

Greatest Common Factor

We found the factors and prime factorization of 3432 and 3438. The biggest common factor number is the GCF number.
So the greatest common factor 3432 and 3438 is 6.

Also check out the Least Common Multiple of 3432 and 3438

Properties of GCF 3432 and 3438

(i) The GCF of 3432 and 3438 is associative

GCF of 3432 and 3438 = GCF of 3438 and 3432

Related Greatest Common Factor of 3432

Related Greatest Common Factor of 3438

Frequently Asked Questions on GCF of 3432 and 3438

1. What is the GCF of 3432 and 3438?

Answer: GCF of 3432 and 3438 is 6.

2. What are the Factors of 3432?

Answer: Factors of 3432 are 1, 2, 3, 4, 6, 8, 11, 12, 13, 22, 24, 26, 33, 39, 44, 52, 66, 78, 88, 104, 132, 143, 156, 264, 286, 312, 429, 572, 858, 1144, 1716, 3432. There are 32 integers that are factors of 3432. The greatest factor of 3432 is 3432.

3. What are the Factors of 3438?

Answer: Factors of 3438 are 1, 2, 3, 6, 9, 18, 191, 382, 573, 1146, 1719, 3438. There are 12 integers that are factors of 3438. The greatest factor of 3438 is 3438.

4. How to Find the GCF of 3432 and 3438?

Answer:

Greatest Common Factor of 3432 and 3438 = 6

Step 1: Find the prime factorization of 3432

3432 = 2 x 2 x 2 x 3 x 11 x 13

Step 2: Find the prime factorization of 3438

3438 = 2 x 3 x 3 x 191

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 3432 and 3438 is 6