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 4067, 4073 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4067 and 4073 is 1.
GCF(4067,4073) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4067
7 | 4067 |
7 | 581 |
83 | 83 |
1 |
Prime factors of 4067 are 7,83. Prime factorization of 4067 in exponential form is:
4067 = 72×831
Prime Factorization of 4073
4073 | 4073 |
1 |
Prime factors of 4073 are 4073. Prime factorization of 4073 in exponential form is:
4073 = 40731
∴ So by taking common prime factors GCF of 4067 and 4073 is 1
Factors of 4067
List of positive integer factors of 4067 that divides 4067 without a remainder.
1,7,49,83,581,4067
Factors of 4073
List of positive integer factors of 4073 that divides 4073 without a remainder.
1,4073
Greatest Common Factor
We found the factors and prime factorization of 4067 and 4073. The biggest common factor number is the GCF number.
So the greatest common factor 4067 and 4073 is 1.
Also check out the Least Common Multiple of 4067 and 4073
(i) The GCF of 4067 and 4073 is associative
GCF of 4067 and 4073 = GCF of 4073 and 4067
1. What is the GCF of 4067 and 4073?
Answer: GCF of 4067 and 4073 is 1.
2. What are the Factors of 4067?
Answer: Factors of 4067 are 1, 7, 49, 83, 581, 4067. There are 6 integers that are factors of 4067. The greatest factor of 4067 is 4067.
3. What are the Factors of 4073?
Answer: Factors of 4073 are 1, 4073. There are 2 integers that are factors of 4073. The greatest factor of 4073 is 4073.
4. How to Find the GCF of 4067 and 4073?
Answer:
Greatest Common Factor of 4067 and 4073 = 1
Step 1: Find the prime factorization of 4067
4067 = 7 x 7 x 83
Step 2: Find the prime factorization of 4073
4073 = 4073
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 4067 and 4073 is 1