Greatest Common Factor of 10432 and 10436

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 10432, 10436 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10432 and 10436 is 4.

GCF(10432,10436) = 4

GCF of 10432 and 10436

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

GCF of:
and

Greatest Common Factor of 10432 and 10436

GCF of 10432 and 10436 is 4

Prime Factorization of 10432


2 10432
2 5216
2 2608
2 1304
2 652
2 326
163 163
1

Prime factors of 10432 are 2,163. Prime factorization of 10432 in exponential form is:

10432 = 26×1631

Prime Factorization of 10436


2 10436
2 5218
2609 2609
1

Prime factors of 10436 are 2,2609. Prime factorization of 10436 in exponential form is:

10436 = 22×26091

∴ So by taking common prime factors GCF of 10432 and 10436 is 4

Greatest Common Factor of 10432 and 10436 by matching factors method

Factors of 10432

List of positive integer factors of 10432 that divides 10432 without a remainder.

1,2,4,8,16,32,64,163,326,652,1304,2608,5216,10432

Factors of 10436

List of positive integer factors of 10436 that divides 10436 without a remainder.

1,2,4,2609,5218,10436

Greatest Common Factor

We found the factors and prime factorization of 10432 and 10436. The biggest common factor number is the GCF number.
So the greatest common factor 10432 and 10436 is 4.

Also check out the Least Common Multiple of 10432 and 10436

Properties of GCF 10432 and 10436

(i) The GCF of 10432 and 10436 is associative

GCF of 10432 and 10436 = GCF of 10436 and 10432

Related Greatest Common Factor of 10432

Related Greatest Common Factor of 10436

Frequently Asked Questions on GCF of 10432 and 10436

1. What is the GCF of 10432 and 10436?

Answer: GCF of 10432 and 10436 is 4.

2. What are the Factors of 10432?

Answer: Factors of 10432 are 1, 2, 4, 8, 16, 32, 64, 163, 326, 652, 1304, 2608, 5216, 10432. There are 14 integers that are factors of 10432. The greatest factor of 10432 is 10432.

3. What are the Factors of 10436?

Answer: Factors of 10436 are 1, 2, 4, 2609, 5218, 10436. There are 6 integers that are factors of 10436. The greatest factor of 10436 is 10436.

4. How to Find the GCF of 10432 and 10436?

Answer:

Greatest Common Factor of 10432 and 10436 = 4

Step 1: Find the prime factorization of 10432

10432 = 2 x 2 x 2 x 2 x 2 x 2 x 163

Step 2: Find the prime factorization of 10436

10436 = 2 x 2 x 2609

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 10432 and 10436 is 4