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 2831, 2837 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2831 and 2837 is 1.
GCF(2831,2837) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2831
19 | 2831 |
149 | 149 |
1 |
Prime factors of 2831 are 19,149. Prime factorization of 2831 in exponential form is:
2831 = 191×1491
Prime Factorization of 2837
2837 | 2837 |
1 |
Prime factors of 2837 are 2837. Prime factorization of 2837 in exponential form is:
2837 = 28371
∴ So by taking common prime factors GCF of 2831 and 2837 is 1
Factors of 2831
List of positive integer factors of 2831 that divides 2831 without a remainder.
1,19,149,2831
Factors of 2837
List of positive integer factors of 2837 that divides 2837 without a remainder.
1,2837
Greatest Common Factor
We found the factors and prime factorization of 2831 and 2837. The biggest common factor number is the GCF number.
So the greatest common factor 2831 and 2837 is 1.
Also check out the Least Common Multiple of 2831 and 2837
(i) The GCF of 2831 and 2837 is associative
GCF of 2831 and 2837 = GCF of 2837 and 2831
1. What is the GCF of 2831 and 2837?
Answer: GCF of 2831 and 2837 is 1.
2. What are the Factors of 2831?
Answer: Factors of 2831 are 1, 19, 149, 2831. There are 4 integers that are factors of 2831. The greatest factor of 2831 is 2831.
3. What are the Factors of 2837?
Answer: Factors of 2837 are 1, 2837. There are 2 integers that are factors of 2837. The greatest factor of 2837 is 2837.
4. How to Find the GCF of 2831 and 2837?
Answer:
Greatest Common Factor of 2831 and 2837 = 1
Step 1: Find the prime factorization of 2831
2831 = 19 x 149
Step 2: Find the prime factorization of 2837
2837 = 2837
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 2831 and 2837 is 1