Greatest Common Factor of 5085 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 5085, 5090 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5085 and 5090 is 5.

GCF(5085,5090) = 5

GCF of 5085 and 5090

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

GCF of:
and

Greatest Common Factor of 5085 and 5090

GCF of 5085 and 5090 is 5

Prime Factorization of 5085


3 5085
3 1695
5 565
113 113
1

Prime factors of 5085 are 3,5,113. Prime factorization of 5085 in exponential form is:

5085 = 32×51×1131

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

∴ So by taking common prime factors GCF of 5085 and 5090 is 5

Greatest Common Factor of 5085 and 5090 by matching factors method

Factors of 5085

List of positive integer factors of 5085 that divides 5085 without a remainder.

1,3,5,9,15,45,113,339,565,1017,1695,5085

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 5085 and 5090. The biggest common factor number is the GCF number.
So the greatest common factor 5085 and 5090 is 5.

Also check out the Least Common Multiple of 5085 and 5090

Properties of GCF 5085 and 5090

(i) The GCF of 5085 and 5090 is associative

GCF of 5085 and 5090 = GCF of 5090 and 5085

Related Greatest Common Factor of 5085

Related Greatest Common Factor of 5090

Frequently Asked Questions on GCF of 5085 and 5090

1. What is the GCF of 5085 and 5090?

Answer: GCF of 5085 and 5090 is 5.

2. What are the Factors of 5085?

Answer: Factors of 5085 are 1, 3, 5, 9, 15, 45, 113, 339, 565, 1017, 1695, 5085. There are 12 integers that are factors of 5085. The greatest factor of 5085 is 5085.

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 5085 and 5090?

Answer:

Greatest Common Factor of 5085 and 5090 = 5

Step 1: Find the prime factorization of 5085

5085 = 3 x 3 x 5 x 113

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 = 5

Step 4: Therefore, the greatest common factor of 5085 and 5090 is 5