Greatest Common Factor of 7087 and 7090

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 7087, 7090 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7087 and 7090 is 1.

GCF(7087,7090) = 1

GCF of 7087 and 7090

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

GCF of:
and

Greatest Common Factor of 7087 and 7090

GCF of 7087 and 7090 is 1

Prime Factorization of 7087


19 7087
373 373
1

Prime factors of 7087 are 19,373. Prime factorization of 7087 in exponential form is:

7087 = 191×3731

Prime Factorization of 7090


2 7090
5 3545
709 709
1

Prime factors of 7090 are 2,5,709. Prime factorization of 7090 in exponential form is:

7090 = 21×51×7091

∴ So by taking common prime factors GCF of 7087 and 7090 is 1

Greatest Common Factor of 7087 and 7090 by matching factors method

Factors of 7087

List of positive integer factors of 7087 that divides 7087 without a remainder.

1,19,373,7087

Factors of 7090

List of positive integer factors of 7090 that divides 7090 without a remainder.

1,2,5,10,709,1418,3545,7090

Greatest Common Factor

We found the factors and prime factorization of 7087 and 7090. The biggest common factor number is the GCF number.
So the greatest common factor 7087 and 7090 is 1.

Also check out the Least Common Multiple of 7087 and 7090

Properties of GCF 7087 and 7090

(i) The GCF of 7087 and 7090 is associative

GCF of 7087 and 7090 = GCF of 7090 and 7087

Frequently Asked Questions on GCF of 7087 and 7090

1. What is the GCF of 7087 and 7090?

Answer: GCF of 7087 and 7090 is 1.

2. What are the Factors of 7087?

Answer: Factors of 7087 are 1, 19, 373, 7087. There are 4 integers that are factors of 7087. The greatest factor of 7087 is 7087.

3. What are the Factors of 7090?

Answer: Factors of 7090 are 1, 2, 5, 10, 709, 1418, 3545, 7090. There are 8 integers that are factors of 7090. The greatest factor of 7090 is 7090.

4. How to Find the GCF of 7087 and 7090?

Answer:

Greatest Common Factor of 7087 and 7090 = 1

Step 1: Find the prime factorization of 7087

7087 = 19 x 373

Step 2: Find the prime factorization of 7090

7090 = 2 x 5 x 709

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 7087 and 7090 is 1