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 31010, 31011 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 31010 and 31011 is 1.
GCF(31010,31011) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 31010
2 | 31010 |
5 | 15505 |
7 | 3101 |
443 | 443 |
1 |
Prime factors of 31010 are 2,5,7,443. Prime factorization of 31010 in exponential form is:
31010 = 21×51×71×4431
Prime Factorization of 31011
3 | 31011 |
10337 | 10337 |
1 |
Prime factors of 31011 are 3,10337. Prime factorization of 31011 in exponential form is:
31011 = 31×103371
∴ So by taking common prime factors GCF of 31010 and 31011 is 1
Factors of 31010
List of positive integer factors of 31010 that divides 31010 without a remainder.
1,2,5,7,10,14,35,70,443,886,2215,3101,4430,6202,15505,31010
Factors of 31011
List of positive integer factors of 31011 that divides 31011 without a remainder.
1,3,10337,31011
Greatest Common Factor
We found the factors and prime factorization of 31010 and 31011. The biggest common factor number is the GCF number.
So the greatest common factor 31010 and 31011 is 1.
Also check out the Least Common Multiple of 31010 and 31011
(i) The GCF of 31010 and 31011 is associative
GCF of 31010 and 31011 = GCF of 31011 and 31010
1. What is the GCF of 31010 and 31011?
Answer: GCF of 31010 and 31011 is 1.
2. What are the Factors of 31010?
Answer: Factors of 31010 are 1, 2, 5, 7, 10, 14, 35, 70, 443, 886, 2215, 3101, 4430, 6202, 15505, 31010. There are 16 integers that are factors of 31010. The greatest factor of 31010 is 31010.
3. What are the Factors of 31011?
Answer: Factors of 31011 are 1, 3, 10337, 31011. There are 4 integers that are factors of 31011. The greatest factor of 31011 is 31011.
4. How to Find the GCF of 31010 and 31011?
Answer:
Greatest Common Factor of 31010 and 31011 = 1
Step 1: Find the prime factorization of 31010
31010 = 2 x 5 x 7 x 443
Step 2: Find the prime factorization of 31011
31011 = 3 x 10337
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 31010 and 31011 is 1