Greatest Common Factor of 31423 and 31427

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 31423, 31427 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31423 and 31427 is 1.

GCF(31423,31427) = 1

GCF of 31423 and 31427

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

GCF of:
and

Greatest Common Factor of 31423 and 31427

GCF of 31423 and 31427 is 1

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

Prime Factorization of 31427


11 31427
2857 2857
1

Prime factors of 31427 are 11,2857. Prime factorization of 31427 in exponential form is:

31427 = 111×28571

∴ So by taking common prime factors GCF of 31423 and 31427 is 1

Greatest Common Factor of 31423 and 31427 by matching factors method

Factors of 31423

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

1,7,67,469,4489,31423

Factors of 31427

List of positive integer factors of 31427 that divides 31427 without a remainder.

1,11,2857,31427

Greatest Common Factor

We found the factors and prime factorization of 31423 and 31427. The biggest common factor number is the GCF number.
So the greatest common factor 31423 and 31427 is 1.

Also check out the Least Common Multiple of 31423 and 31427

Properties of GCF 31423 and 31427

(i) The GCF of 31423 and 31427 is associative

GCF of 31423 and 31427 = GCF of 31427 and 31423

Frequently Asked Questions on GCF of 31423 and 31427

1. What is the GCF of 31423 and 31427?

Answer: GCF of 31423 and 31427 is 1.

2. 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.

3. What are the Factors of 31427?

Answer: Factors of 31427 are 1, 11, 2857, 31427. There are 4 integers that are factors of 31427. The greatest factor of 31427 is 31427.

4. How to Find the GCF of 31423 and 31427?

Answer:

Greatest Common Factor of 31423 and 31427 = 1

Step 1: Find the prime factorization of 31423

31423 = 7 x 67 x 67

Step 2: Find the prime factorization of 31427

31427 = 11 x 2857

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 31423 and 31427 is 1