Greatest Common Factor of 31418 and 31423

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 31418, 31423 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31418 and 31423 is 1.

GCF(31418,31423) = 1

GCF of 31418 and 31423

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

GCF of:
and

Greatest Common Factor of 31418 and 31423

GCF of 31418 and 31423 is 1

Prime Factorization of 31418


2 31418
23 15709
683 683
1

Prime factors of 31418 are 2,23,683. Prime factorization of 31418 in exponential form is:

31418 = 21×231×6831

Prime Factorization of 31423


7 31423
67 4489
67 67
1

Prime factors of 31423 are 7,67. Prime factorization of 31423 in exponential form is:

31423 = 71×672

∴ So by taking common prime factors GCF of 31418 and 31423 is 1

Greatest Common Factor of 31418 and 31423 by matching factors method

Factors of 31418

List of positive integer factors of 31418 that divides 31418 without a remainder.

1,2,23,46,683,1366,15709,31418

Factors of 31423

List of positive integer factors of 31423 that divides 31423 without a remainder.

1,7,67,469,4489,31423

Greatest Common Factor

We found the factors and prime factorization of 31418 and 31423. The biggest common factor number is the GCF number.
So the greatest common factor 31418 and 31423 is 1.

Also check out the Least Common Multiple of 31418 and 31423

Properties of GCF 31418 and 31423

(i) The GCF of 31418 and 31423 is associative

GCF of 31418 and 31423 = GCF of 31423 and 31418

Related Greatest Common Factor of 31418

Related Greatest Common Factor of 31423

Frequently Asked Questions on GCF of 31418 and 31423

1. What is the GCF of 31418 and 31423?

Answer: GCF of 31418 and 31423 is 1.

2. What are the Factors of 31418?

Answer: Factors of 31418 are 1, 2, 23, 46, 683, 1366, 15709, 31418. There are 8 integers that are factors of 31418. The greatest factor of 31418 is 31418.

3. What are the Factors of 31423?

Answer: Factors of 31423 are 1, 7, 67, 469, 4489, 31423. There are 6 integers that are factors of 31423. The greatest factor of 31423 is 31423.

4. How to Find the GCF of 31418 and 31423?

Answer:

Greatest Common Factor of 31418 and 31423 = 1

Step 1: Find the prime factorization of 31418

31418 = 2 x 23 x 683

Step 2: Find the prime factorization of 31423

31423 = 7 x 67 x 67

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 31418 and 31423 is 1