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 2071, 2072 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2071 and 2072 is 1.
GCF(2071,2072) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2071
19 | 2071 |
109 | 109 |
1 |
Prime factors of 2071 are 19,109. Prime factorization of 2071 in exponential form is:
2071 = 191×1091
Prime Factorization of 2072
2 | 2072 |
2 | 1036 |
2 | 518 |
7 | 259 |
37 | 37 |
1 |
Prime factors of 2072 are 2,7,37. Prime factorization of 2072 in exponential form is:
2072 = 23×71×371
∴ So by taking common prime factors GCF of 2071 and 2072 is 1
Factors of 2071
List of positive integer factors of 2071 that divides 2071 without a remainder.
1,19,109,2071
Factors of 2072
List of positive integer factors of 2072 that divides 2072 without a remainder.
1,2,4,7,8,14,28,37,56,74,148,259,296,518,1036,2072
Greatest Common Factor
We found the factors and prime factorization of 2071 and 2072. The biggest common factor number is the GCF number.
So the greatest common factor 2071 and 2072 is 1.
Also check out the Least Common Multiple of 2071 and 2072
(i) The GCF of 2071 and 2072 is associative
GCF of 2071 and 2072 = GCF of 2072 and 2071
1. What is the GCF of 2071 and 2072?
Answer: GCF of 2071 and 2072 is 1.
2. What are the Factors of 2071?
Answer: Factors of 2071 are 1, 19, 109, 2071. There are 4 integers that are factors of 2071. The greatest factor of 2071 is 2071.
3. What are the Factors of 2072?
Answer: Factors of 2072 are 1, 2, 4, 7, 8, 14, 28, 37, 56, 74, 148, 259, 296, 518, 1036, 2072. There are 16 integers that are factors of 2072. The greatest factor of 2072 is 2072.
4. How to Find the GCF of 2071 and 2072?
Answer:
Greatest Common Factor of 2071 and 2072 = 1
Step 1: Find the prime factorization of 2071
2071 = 19 x 109
Step 2: Find the prime factorization of 2072
2072 = 2 x 2 x 2 x 7 x 37
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 2071 and 2072 is 1