Greatest Common Factor of 1087 and 1091

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

• Greatest Common Factor of 1087 and 1091 by prime factorization method
• Greatest Common Factor of 1087 and 1091 by matching factors method

Prime Factorization of 1087

Prime factors of 1087 are 1087. Prime factorization of 1087 in exponential form is:

1087 = 1087¹

Prime Factorization of 1091

Prime factors of 1091 are 1091.Prime factorization of 1091 in exponential form is:

1091 = 1091¹

∴ So by taking common prime factors GCF of 1087 and 1091 is 1

Factors of 1087

List of positive integer factors of 1087 that divides 1087 without a remainder.

1,1087

Factors of 1091

List of positive integer factors of 1091 that divides 1091 without a remainder.

1,1091

Greatest Common Factor

We found the factors and prime factorization of 1087 and 1091. The biggest common factor number is the GCF number.
So the greatest common factor 1087 and 1091 is 1.

Also check out the Least Common Multiple of 1087 and 1091

(i) The GCF of 1087 and 1091 is associative

GCF of 1087 and 1091 = GCF of 1091 and 1087

1. What is the GCF of 1087 and 1091?

Answer: GCF of 1087 and 1091 is 1.

2. What are the Factors of 1087?

Answer: Factors of 1087 are 1, 1087. There are 2 integers that are factors of 1087. The greatest factor of 1087 is 1087.

3. What are the Factors of 1091?

Answer: Factors of 1091 are 1, 1091. There are 2 integers that are factors of 1091. The greatest factor of 1091 is 1091.

4. How to Find the GCF of 1087 and 1091?

Answer:

Greatest Common Factor of 1087 and 1091 = 1

Step 1: Find the prime factorization of 1087

1087 = 1087

Step 2: Find the prime factorization of 1091

1091 = 1091

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 1087 and 1091 is 1