Greatest Common Factor of 1084 and 1087

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 1084, 1087 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1084 and 1087 is 1.

GCF(1084,1087) = 1

GCF of 1084 and 1087

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

GCF of:
and

Greatest Common Factor of 1084 and 1087

GCF of 1084 and 1087 is 1

Prime Factorization of 1084


2 1084
2 542
271 271
1

Prime factors of 1084 are 2,271. Prime factorization of 1084 in exponential form is:

1084 = 22×2711

Prime Factorization of 1087


1087 1087
1

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

1087 = 10871

∴ So by taking common prime factors GCF of 1084 and 1087 is 1

Greatest Common Factor of 1084 and 1087 by matching factors method

Factors of 1084

List of positive integer factors of 1084 that divides 1084 without a remainder.

1,2,4,271,542,1084

Factors of 1087

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

1,1087

Greatest Common Factor

We found the factors and prime factorization of 1084 and 1087. The biggest common factor number is the GCF number.
So the greatest common factor 1084 and 1087 is 1.

Also check out the Least Common Multiple of 1084 and 1087

Properties of GCF 1084 and 1087

(i) The GCF of 1084 and 1087 is associative

GCF of 1084 and 1087 = GCF of 1087 and 1084

Related Greatest Common Factor of 1084

Related Greatest Common Factor of 1087

Frequently Asked Questions on GCF of 1084 and 1087

1. What is the GCF of 1084 and 1087?

Answer: GCF of 1084 and 1087 is 1.

2. What are the Factors of 1084?

Answer: Factors of 1084 are 1, 2, 4, 271, 542, 1084. There are 6 integers that are factors of 1084. The greatest factor of 1084 is 1084.

3. 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.

4. How to Find the GCF of 1084 and 1087?

Answer:

Greatest Common Factor of 1084 and 1087 = 1

Step 1: Find the prime factorization of 1084

1084 = 2 x 2 x 271

Step 2: Find the prime factorization of 1087

1087 = 1087

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 1084 and 1087 is 1