Greatest Common Factor of 10429 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 10429, 10437 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10429 and 10437 is 1.

GCF(10429,10437) = 1

GCF of 10429 and 10437

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

GCF of:
and

Greatest Common Factor of 10429 and 10437

GCF of 10429 and 10437 is 1

Prime Factorization of 10429


10429 10429
1

Prime factors of 10429 are 10429. Prime factorization of 10429 in exponential form is:

10429 = 104291

Prime Factorization of 10437


3 10437
7 3479
7 497
71 71
1

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

10437 = 31×72×711

∴ So by taking common prime factors GCF of 10429 and 10437 is 1

Greatest Common Factor of 10429 and 10437 by matching factors method

Factors of 10429

List of positive integer factors of 10429 that divides 10429 without a remainder.

1,10429

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 10429 and 10437. The biggest common factor number is the GCF number.
So the greatest common factor 10429 and 10437 is 1.

Also check out the Least Common Multiple of 10429 and 10437

Properties of GCF 10429 and 10437

(i) The GCF of 10429 and 10437 is associative

GCF of 10429 and 10437 = GCF of 10437 and 10429

Frequently Asked Questions on GCF of 10429 and 10437

1. What is the GCF of 10429 and 10437?

Answer: GCF of 10429 and 10437 is 1.

2. What are the Factors of 10429?

Answer: Factors of 10429 are 1, 10429. There are 2 integers that are factors of 10429. The greatest factor of 10429 is 10429.

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 10429 and 10437?

Answer:

Greatest Common Factor of 10429 and 10437 = 1

Step 1: Find the prime factorization of 10429

10429 = 10429

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 10429 and 10437 is 1