Greatest Common Factor of 10418 and 10423

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 10418, 10423 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10418 and 10423 is 1.

GCF(10418,10423) = 1

GCF of 10418 and 10423

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

GCF of:
and

Greatest Common Factor of 10418 and 10423

GCF of 10418 and 10423 is 1

Prime Factorization of 10418


2 10418
5209 5209
1

Prime factors of 10418 are 2,5209. Prime factorization of 10418 in exponential form is:

10418 = 21×52091

Prime Factorization of 10423


7 10423
1489 1489
1

Prime factors of 10423 are 7,1489. Prime factorization of 10423 in exponential form is:

10423 = 71×14891

∴ So by taking common prime factors GCF of 10418 and 10423 is 1

Greatest Common Factor of 10418 and 10423 by matching factors method

Factors of 10418

List of positive integer factors of 10418 that divides 10418 without a remainder.

1,2,5209,10418

Factors of 10423

List of positive integer factors of 10423 that divides 10423 without a remainder.

1,7,1489,10423

Greatest Common Factor

We found the factors and prime factorization of 10418 and 10423. The biggest common factor number is the GCF number.
So the greatest common factor 10418 and 10423 is 1.

Also check out the Least Common Multiple of 10418 and 10423

Properties of GCF 10418 and 10423

(i) The GCF of 10418 and 10423 is associative

GCF of 10418 and 10423 = GCF of 10423 and 10418

Related Greatest Common Factor of 10418

Related Greatest Common Factor of 10423

Frequently Asked Questions on GCF of 10418 and 10423

1. What is the GCF of 10418 and 10423?

Answer: GCF of 10418 and 10423 is 1.

2. What are the Factors of 10418?

Answer: Factors of 10418 are 1, 2, 5209, 10418. There are 4 integers that are factors of 10418. The greatest factor of 10418 is 10418.

3. What are the Factors of 10423?

Answer: Factors of 10423 are 1, 7, 1489, 10423. There are 4 integers that are factors of 10423. The greatest factor of 10423 is 10423.

4. How to Find the GCF of 10418 and 10423?

Answer:

Greatest Common Factor of 10418 and 10423 = 1

Step 1: Find the prime factorization of 10418

10418 = 2 x 5209

Step 2: Find the prime factorization of 10423

10423 = 7 x 1489

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 10418 and 10423 is 1