Greatest Common Factor of 1075 and 1081

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 1075, 1081 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1075 and 1081 is 1.

GCF(1075,1081) = 1

GCF of 1075 and 1081

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

GCF of:
and

Greatest Common Factor of 1075 and 1081

GCF of 1075 and 1081 is 1

Prime Factorization of 1075


5 1075
5 215
43 43
1

Prime factors of 1075 are 5,43. Prime factorization of 1075 in exponential form is:

1075 = 52×431

Prime Factorization of 1081


23 1081
47 47
1

Prime factors of 1081 are 23,47. Prime factorization of 1081 in exponential form is:

1081 = 231×471

∴ So by taking common prime factors GCF of 1075 and 1081 is 1

Greatest Common Factor of 1075 and 1081 by matching factors method

Factors of 1075

List of positive integer factors of 1075 that divides 1075 without a remainder.

1,5,25,43,215,1075

Factors of 1081

List of positive integer factors of 1081 that divides 1081 without a remainder.

1,23,47,1081

Greatest Common Factor

We found the factors and prime factorization of 1075 and 1081. The biggest common factor number is the GCF number.
So the greatest common factor 1075 and 1081 is 1.

Also check out the Least Common Multiple of 1075 and 1081

Properties of GCF 1075 and 1081

(i) The GCF of 1075 and 1081 is associative

GCF of 1075 and 1081 = GCF of 1081 and 1075

Related Greatest Common Factor of 1075

Related Greatest Common Factor of 1081

Frequently Asked Questions on GCF of 1075 and 1081

1. What is the GCF of 1075 and 1081?

Answer: GCF of 1075 and 1081 is 1.

2. What are the Factors of 1075?

Answer: Factors of 1075 are 1, 5, 25, 43, 215, 1075. There are 6 integers that are factors of 1075. The greatest factor of 1075 is 1075.

3. What are the Factors of 1081?

Answer: Factors of 1081 are 1, 23, 47, 1081. There are 4 integers that are factors of 1081. The greatest factor of 1081 is 1081.

4. How to Find the GCF of 1075 and 1081?

Answer:

Greatest Common Factor of 1075 and 1081 = 1

Step 1: Find the prime factorization of 1075

1075 = 5 x 5 x 43

Step 2: Find the prime factorization of 1081

1081 = 23 x 47

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 1075 and 1081 is 1