Greatest Common Factor of 5090 and 5095

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 5090, 5095 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5090 and 5095 is 5.

GCF(5090,5095) = 5

GCF of 5090 and 5095

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

GCF of:
and

Greatest Common Factor of 5090 and 5095

GCF of 5090 and 5095 is 5

Prime Factorization of 5090


2 5090
5 2545
509 509
1

Prime factors of 5090 are 2,5,509. Prime factorization of 5090 in exponential form is:

5090 = 21×51×5091

Prime Factorization of 5095


5 5095
1019 1019
1

Prime factors of 5095 are 5,1019. Prime factorization of 5095 in exponential form is:

5095 = 51×10191

∴ So by taking common prime factors GCF of 5090 and 5095 is 5

Greatest Common Factor of 5090 and 5095 by matching factors method

Factors of 5090

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

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

Factors of 5095

List of positive integer factors of 5095 that divides 5095 without a remainder.

1,5,1019,5095

Greatest Common Factor

We found the factors and prime factorization of 5090 and 5095. The biggest common factor number is the GCF number.
So the greatest common factor 5090 and 5095 is 5.

Also check out the Least Common Multiple of 5090 and 5095

Properties of GCF 5090 and 5095

(i) The GCF of 5090 and 5095 is associative

GCF of 5090 and 5095 = GCF of 5095 and 5090

Related Greatest Common Factor of 5090

Related Greatest Common Factor of 5095

Frequently Asked Questions on GCF of 5090 and 5095

1. What is the GCF of 5090 and 5095?

Answer: GCF of 5090 and 5095 is 5.

2. 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.

3. What are the Factors of 5095?

Answer: Factors of 5095 are 1, 5, 1019, 5095. There are 4 integers that are factors of 5095. The greatest factor of 5095 is 5095.

4. How to Find the GCF of 5090 and 5095?

Answer:

Greatest Common Factor of 5090 and 5095 = 5

Step 1: Find the prime factorization of 5090

5090 = 2 x 5 x 509

Step 2: Find the prime factorization of 5095

5095 = 5 x 1019

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 5

Step 4: Therefore, the greatest common factor of 5090 and 5095 is 5