Greatest Common Factor of 10434 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 10434, 10437 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10434 and 10437 is 3.

GCF(10434,10437) = 3

GCF of 10434 and 10437

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

GCF of:
and

Greatest Common Factor of 10434 and 10437

GCF of 10434 and 10437 is 3

Prime Factorization of 10434


2 10434
3 5217
37 1739
47 47
1

Prime factors of 10434 are 2,3,37,47. Prime factorization of 10434 in exponential form is:

10434 = 21×31×371×471

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 10434 and 10437 is 3

Greatest Common Factor of 10434 and 10437 by matching factors method

Factors of 10434

List of positive integer factors of 10434 that divides 10434 without a remainder.

1,2,3,6,37,47,74,94,111,141,222,282,1739,3478,5217,10434

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 10434 and 10437. The biggest common factor number is the GCF number.
So the greatest common factor 10434 and 10437 is 3.

Also check out the Least Common Multiple of 10434 and 10437

Properties of GCF 10434 and 10437

(i) The GCF of 10434 and 10437 is associative

GCF of 10434 and 10437 = GCF of 10437 and 10434

Related Greatest Common Factor of 10434

Related Greatest Common Factor of 10437

Frequently Asked Questions on GCF of 10434 and 10437

1. What is the GCF of 10434 and 10437?

Answer: GCF of 10434 and 10437 is 3.

2. What are the Factors of 10434?

Answer: Factors of 10434 are 1, 2, 3, 6, 37, 47, 74, 94, 111, 141, 222, 282, 1739, 3478, 5217, 10434. There are 16 integers that are factors of 10434. The greatest factor of 10434 is 10434.

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 10434 and 10437?

Answer:

Greatest Common Factor of 10434 and 10437 = 3

Step 1: Find the prime factorization of 10434

10434 = 2 x 3 x 37 x 47

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 = 3

Step 4: Therefore, the greatest common factor of 10434 and 10437 is 3