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 1066, 1070 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1066 and 1070 is 2.
GCF(1066,1070) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1066
2 | 1066 |
13 | 533 |
41 | 41 |
1 |
Prime factors of 1066 are 2,13,41. Prime factorization of 1066 in exponential form is:
1066 = 21×131×411
Prime Factorization of 1070
2 | 1070 |
5 | 535 |
107 | 107 |
1 |
Prime factors of 1070 are 2,5,107. Prime factorization of 1070 in exponential form is:
1070 = 21×51×1071
∴ So by taking common prime factors GCF of 1066 and 1070 is 2
Factors of 1066
List of positive integer factors of 1066 that divides 1066 without a remainder.
1,2,13,26,41,82,533,1066
Factors of 1070
List of positive integer factors of 1070 that divides 1070 without a remainder.
1,2,5,10,107,214,535,1070
Greatest Common Factor
We found the factors and prime factorization of 1066 and 1070. The biggest common factor number is the GCF number.
So the greatest common factor 1066 and 1070 is 2.
Also check out the Least Common Multiple of 1066 and 1070
(i) The GCF of 1066 and 1070 is associative
GCF of 1066 and 1070 = GCF of 1070 and 1066
1. What is the GCF of 1066 and 1070?
Answer: GCF of 1066 and 1070 is 2.
2. What are the Factors of 1066?
Answer: Factors of 1066 are 1, 2, 13, 26, 41, 82, 533, 1066. There are 8 integers that are factors of 1066. The greatest factor of 1066 is 1066.
3. What are the Factors of 1070?
Answer: Factors of 1070 are 1, 2, 5, 10, 107, 214, 535, 1070. There are 8 integers that are factors of 1070. The greatest factor of 1070 is 1070.
4. How to Find the GCF of 1066 and 1070?
Answer:
Greatest Common Factor of 1066 and 1070 = 2
Step 1: Find the prime factorization of 1066
1066 = 2 x 13 x 41
Step 2: Find the prime factorization of 1070
1070 = 2 x 5 x 107
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 1066 and 1070 is 2