Greatest Common Factor of 1085 and 1090

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 1085, 1090 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1085 and 1090 is 5.

GCF(1085,1090) = 5

GCF of 1085 and 1090

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

GCF of:
and

Greatest Common Factor of 1085 and 1090

GCF of 1085 and 1090 is 5

Prime Factorization of 1085


5 1085
7 217
31 31
1

Prime factors of 1085 are 5,7,31. Prime factorization of 1085 in exponential form is:

1085 = 51×71×311

Prime Factorization of 1090


2 1090
5 545
109 109
1

Prime factors of 1090 are 2,5,109. Prime factorization of 1090 in exponential form is:

1090 = 21×51×1091

∴ So by taking common prime factors GCF of 1085 and 1090 is 5

Greatest Common Factor of 1085 and 1090 by matching factors method

Factors of 1085

List of positive integer factors of 1085 that divides 1085 without a remainder.

1,5,7,31,35,155,217,1085

Factors of 1090

List of positive integer factors of 1090 that divides 1090 without a remainder.

1,2,5,10,109,218,545,1090

Greatest Common Factor

We found the factors and prime factorization of 1085 and 1090. The biggest common factor number is the GCF number.
So the greatest common factor 1085 and 1090 is 5.

Also check out the Least Common Multiple of 1085 and 1090

Properties of GCF 1085 and 1090

(i) The GCF of 1085 and 1090 is associative

GCF of 1085 and 1090 = GCF of 1090 and 1085

Related Greatest Common Factor of 1085

Related Greatest Common Factor of 1090

Frequently Asked Questions on GCF of 1085 and 1090

1. What is the GCF of 1085 and 1090?

Answer: GCF of 1085 and 1090 is 5.

2. What are the Factors of 1085?

Answer: Factors of 1085 are 1, 5, 7, 31, 35, 155, 217, 1085. There are 8 integers that are factors of 1085. The greatest factor of 1085 is 1085.

3. What are the Factors of 1090?

Answer: Factors of 1090 are 1, 2, 5, 10, 109, 218, 545, 1090. There are 8 integers that are factors of 1090. The greatest factor of 1090 is 1090.

4. How to Find the GCF of 1085 and 1090?

Answer:

Greatest Common Factor of 1085 and 1090 = 5

Step 1: Find the prime factorization of 1085

1085 = 5 x 7 x 31

Step 2: Find the prime factorization of 1090

1090 = 2 x 5 x 109

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 1085 and 1090 is 5