Greatest Common Factor of 5087 and 5090

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 5087, 5090 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5087 and 5090 is 1.

GCF(5087,5090) = 1

GCF of 5087 and 5090

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

GCF of:
and

Greatest Common Factor of 5087 and 5090

GCF of 5087 and 5090 is 1

Prime Factorization of 5087


5087 5087
1

Prime factors of 5087 are 5087. Prime factorization of 5087 in exponential form is:

5087 = 50871

Prime Factorization of 5090


2 5090
5 2545
509 509
1

Prime factors of 5090 are 2.Prime factorization of 5090 in exponential form is:

5090 = 21×51×5091

∴ So by taking common prime factors GCF of 5087 and 5090 is 1

Greatest Common Factor of 5087 and 5090 by matching factors method

Factors of 5087

List of positive integer factors of 5087 that divides 5087 without a remainder.

1,5087

Factors of 5090

List of positive integer factors of 5090 that divides 5090 without a remainder.

1,2,5,10,509,1018,2545,5090

Greatest Common Factor

We found the factors and prime factorization of 5087 and 5090. The biggest common factor number is the GCF number.
So the greatest common factor 5087 and 5090 is 1.

Also check out the Least Common Multiple of 5087 and 5090

Properties of GCF 5087 and 5090

(i) The GCF of 5087 and 5090 is associative

GCF of 5087 and 5090 = GCF of 5090 and 5087

Frequently Asked Questions on GCF of 5087 and 5090

1. What is the GCF of 5087 and 5090?

Answer: GCF of 5087 and 5090 is 1.

2. What are the Factors of 5087?

Answer: Factors of 5087 are 1, 5087. There are 2 integers that are factors of 5087. The greatest factor of 5087 is 5087.

3. What are the Factors of 5090?

Answer: Factors of 5090 are 1, 2, 5, 10, 509, 1018, 2545, 5090. There are 8 integers that are factors of 5090. The greatest factor of 5090 is 5090.

4. How to Find the GCF of 5087 and 5090?

Answer:

Greatest Common Factor of 5087 and 5090 = 1

Step 1: Find the prime factorization of 5087

5087 = 5087

Step 2: Find the prime factorization of 5090

5090 = 2 x 5 x 509

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 5087 and 5090 is 1