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 4011, 4012 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4011 and 4012 is 1.
GCF(4011,4012) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4011
3 | 4011 |
7 | 1337 |
191 | 191 |
1 |
Prime factors of 4011 are 3,7,191. Prime factorization of 4011 in exponential form is:
4011 = 31×71×1911
Prime Factorization of 4012
2 | 4012 |
2 | 2006 |
17 | 1003 |
59 | 59 |
1 |
Prime factors of 4012 are 2,17,59. Prime factorization of 4012 in exponential form is:
4012 = 22×171×591
∴ So by taking common prime factors GCF of 4011 and 4012 is 1
Factors of 4011
List of positive integer factors of 4011 that divides 4011 without a remainder.
1,3,7,21,191,573,1337,4011
Factors of 4012
List of positive integer factors of 4012 that divides 4012 without a remainder.
1,2,4,17,34,59,68,118,236,1003,2006,4012
Greatest Common Factor
We found the factors and prime factorization of 4011 and 4012. The biggest common factor number is the GCF number.
So the greatest common factor 4011 and 4012 is 1.
Also check out the Least Common Multiple of 4011 and 4012
(i) The GCF of 4011 and 4012 is associative
GCF of 4011 and 4012 = GCF of 4012 and 4011
1. What is the GCF of 4011 and 4012?
Answer: GCF of 4011 and 4012 is 1.
2. What are the Factors of 4011?
Answer: Factors of 4011 are 1, 3, 7, 21, 191, 573, 1337, 4011. There are 8 integers that are factors of 4011. The greatest factor of 4011 is 4011.
3. What are the Factors of 4012?
Answer: Factors of 4012 are 1, 2, 4, 17, 34, 59, 68, 118, 236, 1003, 2006, 4012. There are 12 integers that are factors of 4012. The greatest factor of 4012 is 4012.
4. How to Find the GCF of 4011 and 4012?
Answer:
Greatest Common Factor of 4011 and 4012 = 1
Step 1: Find the prime factorization of 4011
4011 = 3 x 7 x 191
Step 2: Find the prime factorization of 4012
4012 = 2 x 2 x 17 x 59
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 4011 and 4012 is 1