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 1067, 1072 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1067 and 1072 is 1.
GCF(1067,1072) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1067
11 | 1067 |
97 | 97 |
1 |
Prime factors of 1067 are 11,97. Prime factorization of 1067 in exponential form is:
1067 = 111×971
Prime Factorization of 1072
2 | 1072 |
2 | 536 |
2 | 268 |
2 | 134 |
67 | 67 |
1 |
Prime factors of 1072 are 2,67. Prime factorization of 1072 in exponential form is:
1072 = 24×671
∴ So by taking common prime factors GCF of 1067 and 1072 is 1
Factors of 1067
List of positive integer factors of 1067 that divides 1067 without a remainder.
1,11,97,1067
Factors of 1072
List of positive integer factors of 1072 that divides 1072 without a remainder.
1,2,4,8,16,67,134,268,536,1072
Greatest Common Factor
We found the factors and prime factorization of 1067 and 1072. The biggest common factor number is the GCF number.
So the greatest common factor 1067 and 1072 is 1.
Also check out the Least Common Multiple of 1067 and 1072
(i) The GCF of 1067 and 1072 is associative
GCF of 1067 and 1072 = GCF of 1072 and 1067
1. What is the GCF of 1067 and 1072?
Answer: GCF of 1067 and 1072 is 1.
2. What are the Factors of 1067?
Answer: Factors of 1067 are 1, 11, 97, 1067. There are 4 integers that are factors of 1067. The greatest factor of 1067 is 1067.
3. What are the Factors of 1072?
Answer: Factors of 1072 are 1, 2, 4, 8, 16, 67, 134, 268, 536, 1072. There are 10 integers that are factors of 1072. The greatest factor of 1072 is 1072.
4. How to Find the GCF of 1067 and 1072?
Answer:
Greatest Common Factor of 1067 and 1072 = 1
Step 1: Find the prime factorization of 1067
1067 = 11 x 97
Step 2: Find the prime factorization of 1072
1072 = 2 x 2 x 2 x 2 x 67
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 1067 and 1072 is 1