Greatest Common Factor of 10432 and 10437

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, 10437 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10432 and 10437 is 1.

GCF(10432,10437) = 1

GCF of 10432 and 10437

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

GCF of:
and

Greatest Common Factor of 10432 and 10437

GCF of 10432 and 10437 is 1

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 10437


3 10437
7 3479
7 497
71 71
1

Prime factors of 10437 are 3,7,71. Prime factorization of 10437 in exponential form is:

10437 = 31×72×711

∴ So by taking common prime factors GCF of 10432 and 10437 is 1

Greatest Common Factor of 10432 and 10437 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 10437

List of positive integer factors of 10437 that divides 10437 without a remainder.

1,3,7,21,49,71,147,213,497,1491,3479,10437

Greatest Common Factor

We found the factors and prime factorization of 10432 and 10437. The biggest common factor number is the GCF number.
So the greatest common factor 10432 and 10437 is 1.

Also check out the Least Common Multiple of 10432 and 10437

Properties of GCF 10432 and 10437

(i) The GCF of 10432 and 10437 is associative

GCF of 10432 and 10437 = GCF of 10437 and 10432

Related Greatest Common Factor of 10432

Related Greatest Common Factor of 10437

Frequently Asked Questions on GCF of 10432 and 10437

1. What is the GCF of 10432 and 10437?

Answer: GCF of 10432 and 10437 is 1.

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 10437?

Answer: Factors of 10437 are 1, 3, 7, 21, 49, 71, 147, 213, 497, 1491, 3479, 10437. There are 12 integers that are factors of 10437. The greatest factor of 10437 is 10437.

4. How to Find the GCF of 10432 and 10437?

Answer:

Greatest Common Factor of 10432 and 10437 = 1

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 10437

10437 = 3 x 7 x 7 x 71

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 10432 and 10437 is 1