Greatest Common Factor of 15432 and 15438

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 15432, 15438 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15432 and 15438 is 6.

GCF(15432,15438) = 6

GCF of 15432 and 15438

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

GCF of:
and

Greatest Common Factor of 15432 and 15438

GCF of 15432 and 15438 is 6

Prime Factorization of 15432


2 15432
2 7716
2 3858
3 1929
643 643
1

Prime factors of 15432 are 2,3,643. Prime factorization of 15432 in exponential form is:

15432 = 23×31×6431

Prime Factorization of 15438


2 15438
3 7719
31 2573
83 83
1

Prime factors of 15438 are 2,3,31,83. Prime factorization of 15438 in exponential form is:

15438 = 21×31×311×831

∴ So by taking common prime factors GCF of 15432 and 15438 is 6

Greatest Common Factor of 15432 and 15438 by matching factors method

Factors of 15432

List of positive integer factors of 15432 that divides 15432 without a remainder.

1,2,3,4,6,8,12,24,643,1286,1929,2572,3858,5144,7716,15432

Factors of 15438

List of positive integer factors of 15438 that divides 15438 without a remainder.

1,2,3,6,31,62,83,93,166,186,249,498,2573,5146,7719,15438

Greatest Common Factor

We found the factors and prime factorization of 15432 and 15438. The biggest common factor number is the GCF number.
So the greatest common factor 15432 and 15438 is 6.

Also check out the Least Common Multiple of 15432 and 15438

Properties of GCF 15432 and 15438

(i) The GCF of 15432 and 15438 is associative

GCF of 15432 and 15438 = GCF of 15438 and 15432

Related Greatest Common Factor of 15432

Related Greatest Common Factor of 15438

Frequently Asked Questions on GCF of 15432 and 15438

1. What is the GCF of 15432 and 15438?

Answer: GCF of 15432 and 15438 is 6.

2. What are the Factors of 15432?

Answer: Factors of 15432 are 1, 2, 3, 4, 6, 8, 12, 24, 643, 1286, 1929, 2572, 3858, 5144, 7716, 15432. There are 16 integers that are factors of 15432. The greatest factor of 15432 is 15432.

3. What are the Factors of 15438?

Answer: Factors of 15438 are 1, 2, 3, 6, 31, 62, 83, 93, 166, 186, 249, 498, 2573, 5146, 7719, 15438. There are 16 integers that are factors of 15438. The greatest factor of 15438 is 15438.

4. How to Find the GCF of 15432 and 15438?

Answer:

Greatest Common Factor of 15432 and 15438 = 6

Step 1: Find the prime factorization of 15432

15432 = 2 x 2 x 2 x 3 x 643

Step 2: Find the prime factorization of 15438

15438 = 2 x 3 x 31 x 83

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 15432 and 15438 is 6