Greatest Common Factor of 3424 and 3432

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 3424, 3432 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3424 and 3432 is 8.

GCF(3424,3432) = 8

GCF of 3424 and 3432

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

GCF of:
and

Greatest Common Factor of 3424 and 3432

GCF of 3424 and 3432 is 8

Prime Factorization of 3424


2 3424
2 1712
2 856
2 428
2 214
107 107
1

Prime factors of 3424 are 2,107. Prime factorization of 3424 in exponential form is:

3424 = 25×1071

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

∴ So by taking common prime factors GCF of 3424 and 3432 is 8

Greatest Common Factor of 3424 and 3432 by matching factors method

Factors of 3424

List of positive integer factors of 3424 that divides 3424 without a remainder.

1,2,4,8,16,32,107,214,428,856,1712,3424

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

Greatest Common Factor

We found the factors and prime factorization of 3424 and 3432. The biggest common factor number is the GCF number.
So the greatest common factor 3424 and 3432 is 8.

Also check out the Least Common Multiple of 3424 and 3432

Properties of GCF 3424 and 3432

(i) The GCF of 3424 and 3432 is associative

GCF of 3424 and 3432 = GCF of 3432 and 3424

Related Greatest Common Factor of 3424

Related Greatest Common Factor of 3432

Frequently Asked Questions on GCF of 3424 and 3432

1. What is the GCF of 3424 and 3432?

Answer: GCF of 3424 and 3432 is 8.

2. What are the Factors of 3424?

Answer: Factors of 3424 are 1, 2, 4, 8, 16, 32, 107, 214, 428, 856, 1712, 3424. There are 12 integers that are factors of 3424. The greatest factor of 3424 is 3424.

3. 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.

4. How to Find the GCF of 3424 and 3432?

Answer:

Greatest Common Factor of 3424 and 3432 = 8

Step 1: Find the prime factorization of 3424

3424 = 2 x 2 x 2 x 2 x 2 x 107

Step 2: Find the prime factorization of 3432

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

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 3424 and 3432 is 8