Greatest Common Factor of 4084 and 4087

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 4084, 4087 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4084 and 4087 is 1.

GCF(4084,4087) = 1

GCF of 4084 and 4087

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

GCF of:
and

Greatest Common Factor of 4084 and 4087

GCF of 4084 and 4087 is 1

Prime Factorization of 4084


2 4084
2 2042
1021 1021
1

Prime factors of 4084 are 2,1021. Prime factorization of 4084 in exponential form is:

4084 = 22×10211

Prime Factorization of 4087


61 4087
67 67
1

Prime factors of 4087 are 61,67. Prime factorization of 4087 in exponential form is:

4087 = 611×671

∴ So by taking common prime factors GCF of 4084 and 4087 is 1

Greatest Common Factor of 4084 and 4087 by matching factors method

Factors of 4084

List of positive integer factors of 4084 that divides 4084 without a remainder.

1,2,4,1021,2042,4084

Factors of 4087

List of positive integer factors of 4087 that divides 4087 without a remainder.

1,61,67,4087

Greatest Common Factor

We found the factors and prime factorization of 4084 and 4087. The biggest common factor number is the GCF number.
So the greatest common factor 4084 and 4087 is 1.

Also check out the Least Common Multiple of 4084 and 4087

Properties of GCF 4084 and 4087

(i) The GCF of 4084 and 4087 is associative

GCF of 4084 and 4087 = GCF of 4087 and 4084

Related Greatest Common Factor of 4084

Related Greatest Common Factor of 4087

Frequently Asked Questions on GCF of 4084 and 4087

1. What is the GCF of 4084 and 4087?

Answer: GCF of 4084 and 4087 is 1.

2. What are the Factors of 4084?

Answer: Factors of 4084 are 1, 2, 4, 1021, 2042, 4084. There are 6 integers that are factors of 4084. The greatest factor of 4084 is 4084.

3. What are the Factors of 4087?

Answer: Factors of 4087 are 1, 61, 67, 4087. There are 4 integers that are factors of 4087. The greatest factor of 4087 is 4087.

4. How to Find the GCF of 4084 and 4087?

Answer:

Greatest Common Factor of 4084 and 4087 = 1

Step 1: Find the prime factorization of 4084

4084 = 2 x 2 x 1021

Step 2: Find the prime factorization of 4087

4087 = 61 x 67

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 4084 and 4087 is 1