Greatest Common Factor of 6432 and 6436

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 6432, 6436 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6432 and 6436 is 4.

GCF(6432,6436) = 4

GCF of 6432 and 6436

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

GCF of:
and

Greatest Common Factor of 6432 and 6436

GCF of 6432 and 6436 is 4

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

Prime Factorization of 6436


2 6436
2 3218
1609 1609
1

Prime factors of 6436 are 2,1609. Prime factorization of 6436 in exponential form is:

6436 = 22×16091

∴ So by taking common prime factors GCF of 6432 and 6436 is 4

Greatest Common Factor of 6432 and 6436 by matching factors method

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

Factors of 6436

List of positive integer factors of 6436 that divides 6436 without a remainder.

1,2,4,1609,3218,6436

Greatest Common Factor

We found the factors and prime factorization of 6432 and 6436. The biggest common factor number is the GCF number.
So the greatest common factor 6432 and 6436 is 4.

Also check out the Least Common Multiple of 6432 and 6436

Properties of GCF 6432 and 6436

(i) The GCF of 6432 and 6436 is associative

GCF of 6432 and 6436 = GCF of 6436 and 6432

Related Greatest Common Factor of 6432

Related Greatest Common Factor of 6436

Frequently Asked Questions on GCF of 6432 and 6436

1. What is the GCF of 6432 and 6436?

Answer: GCF of 6432 and 6436 is 4.

2. 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.

3. What are the Factors of 6436?

Answer: Factors of 6436 are 1, 2, 4, 1609, 3218, 6436. There are 6 integers that are factors of 6436. The greatest factor of 6436 is 6436.

4. How to Find the GCF of 6432 and 6436?

Answer:

Greatest Common Factor of 6432 and 6436 = 4

Step 1: Find the prime factorization of 6432

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

Step 2: Find the prime factorization of 6436

6436 = 2 x 2 x 1609

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 6432 and 6436 is 4