Greatest Common Factor of 12430 and 12432

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 12430, 12432 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 12430 and 12432 is 2.

GCF(12430,12432) = 2

GCF of 12430 and 12432

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

GCF of:
and

Greatest Common Factor of 12430 and 12432

GCF of 12430 and 12432 is 2

Prime Factorization of 12430


2 12430
5 6215
11 1243
113 113
1

Prime factors of 12430 are 2,5,11,113. Prime factorization of 12430 in exponential form is:

12430 = 21×51×111×1131

Prime Factorization of 12432


2 12432
2 6216
2 3108
2 1554
3 777
7 259
37 37
1

Prime factors of 12432 are 2,3,7,37. Prime factorization of 12432 in exponential form is:

12432 = 24×31×71×371

∴ So by taking common prime factors GCF of 12430 and 12432 is 2

Greatest Common Factor of 12430 and 12432 by matching factors method

Factors of 12430

List of positive integer factors of 12430 that divides 12430 without a remainder.

1,2,5,10,11,22,55,110,113,226,565,1130,1243,2486,6215,12430

Factors of 12432

List of positive integer factors of 12432 that divides 12432 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,37,42,48,56,74,84,111,112,148,168,222,259,296,336,444,518,592,777,888,1036,1554,1776,2072,3108,4144,6216,12432

Greatest Common Factor

We found the factors and prime factorization of 12430 and 12432. The biggest common factor number is the GCF number.
So the greatest common factor 12430 and 12432 is 2.

Also check out the Least Common Multiple of 12430 and 12432

Properties of GCF 12430 and 12432

(i) The GCF of 12430 and 12432 is associative

GCF of 12430 and 12432 = GCF of 12432 and 12430

Related Greatest Common Factor of 12430

Related Greatest Common Factor of 12432

Frequently Asked Questions on GCF of 12430 and 12432

1. What is the GCF of 12430 and 12432?

Answer: GCF of 12430 and 12432 is 2.

2. What are the Factors of 12430?

Answer: Factors of 12430 are 1, 2, 5, 10, 11, 22, 55, 110, 113, 226, 565, 1130, 1243, 2486, 6215, 12430. There are 16 integers that are factors of 12430. The greatest factor of 12430 is 12430.

3. What are the Factors of 12432?

Answer: Factors of 12432 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 37, 42, 48, 56, 74, 84, 111, 112, 148, 168, 222, 259, 296, 336, 444, 518, 592, 777, 888, 1036, 1554, 1776, 2072, 3108, 4144, 6216, 12432. There are 40 integers that are factors of 12432. The greatest factor of 12432 is 12432.

4. How to Find the GCF of 12430 and 12432?

Answer:

Greatest Common Factor of 12430 and 12432 = 2

Step 1: Find the prime factorization of 12430

12430 = 2 x 5 x 11 x 113

Step 2: Find the prime factorization of 12432

12432 = 2 x 2 x 2 x 2 x 3 x 7 x 37

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 12430 and 12432 is 2