Greatest Common Factor of 6426 and 6432

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 6426, 6432 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6426 and 6432 is 6.

GCF(6426,6432) = 6

GCF of 6426 and 6432

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

GCF of:
and

Greatest Common Factor of 6426 and 6432

GCF of 6426 and 6432 is 6

Prime Factorization of 6426


2 6426
3 3213
3 1071
3 357
7 119
17 17
1

Prime factors of 6426 are 2,3,7,17. Prime factorization of 6426 in exponential form is:

6426 = 21×33×71×171

Prime Factorization of 6432


2 6432
2 3216
2 1608
2 804
2 402
3 201
67 67
1

Prime factors of 6432 are 2,3,67. Prime factorization of 6432 in exponential form is:

6432 = 25×31×671

∴ So by taking common prime factors GCF of 6426 and 6432 is 6

Greatest Common Factor of 6426 and 6432 by matching factors method

Factors of 6426

List of positive integer factors of 6426 that divides 6426 without a remainder.

1,2,3,6,7,9,14,17,18,21,27,34,42,51,54,63,102,119,126,153,189,238,306,357,378,459,714,918,1071,2142,3213,6426

Factors of 6432

List of positive integer factors of 6432 that divides 6432 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,67,96,134,201,268,402,536,804,1072,1608,2144,3216,6432

Greatest Common Factor

We found the factors and prime factorization of 6426 and 6432. The biggest common factor number is the GCF number.
So the greatest common factor 6426 and 6432 is 6.

Also check out the Least Common Multiple of 6426 and 6432

Properties of GCF 6426 and 6432

(i) The GCF of 6426 and 6432 is associative

GCF of 6426 and 6432 = GCF of 6432 and 6426

Related Greatest Common Factor of 6426

Related Greatest Common Factor of 6432

Frequently Asked Questions on GCF of 6426 and 6432

1. What is the GCF of 6426 and 6432?

Answer: GCF of 6426 and 6432 is 6.

2. What are the Factors of 6426?

Answer: Factors of 6426 are 1, 2, 3, 6, 7, 9, 14, 17, 18, 21, 27, 34, 42, 51, 54, 63, 102, 119, 126, 153, 189, 238, 306, 357, 378, 459, 714, 918, 1071, 2142, 3213, 6426. There are 32 integers that are factors of 6426. The greatest factor of 6426 is 6426.

3. What are the Factors of 6432?

Answer: Factors of 6432 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 67, 96, 134, 201, 268, 402, 536, 804, 1072, 1608, 2144, 3216, 6432. There are 24 integers that are factors of 6432. The greatest factor of 6432 is 6432.

4. How to Find the GCF of 6426 and 6432?

Answer:

Greatest Common Factor of 6426 and 6432 = 6

Step 1: Find the prime factorization of 6426

6426 = 2 x 3 x 3 x 3 x 7 x 17

Step 2: Find the prime factorization of 6432

6432 = 2 x 2 x 2 x 2 x 2 x 3 x 67

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 6426 and 6432 is 6