Greatest Common Factor of 1066 and 1072

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, 1072 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1066 and 1072 is 2.

GCF(1066,1072) = 2

GCF of 1066 and 1072

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 1066 and 1072

GCF of 1066 and 1072 is 2

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 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 1066 and 1072 is 2

Greatest Common Factor of 1066 and 1072 by matching factors method

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 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 1066 and 1072. The biggest common factor number is the GCF number.
So the greatest common factor 1066 and 1072 is 2.

Also check out the Least Common Multiple of 1066 and 1072

Properties of GCF 1066 and 1072

(i) The GCF of 1066 and 1072 is associative

GCF of 1066 and 1072 = GCF of 1072 and 1066

Related Greatest Common Factor of 1066

Related Greatest Common Factor of 1072

Frequently Asked Questions on GCF of 1066 and 1072

1. What is the GCF of 1066 and 1072?

Answer: GCF of 1066 and 1072 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 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 1066 and 1072?

Answer:

Greatest Common Factor of 1066 and 1072 = 2

Step 1: Find the prime factorization of 1066

1066 = 2 x 13 x 41

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 = 2

Step 4: Therefore, the greatest common factor of 1066 and 1072 is 2