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
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
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
(i) The GCF of 31423 and 31427 is associative
GCF of 31423 and 31427 = GCF of 31427 and 31423
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