Greatest Common Factor of 1090 and 1094

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 1090, 1094 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1090 and 1094 is 2.

GCF(1090,1094) = 2

GCF of 1090 and 1094

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

GCF of:
and

Greatest Common Factor of 1090 and 1094

GCF of 1090 and 1094 is 2

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

Prime Factorization of 1094


2 1094
547 547
1

Prime factors of 1094 are 2,547. Prime factorization of 1094 in exponential form is:

1094 = 21×5471

∴ So by taking common prime factors GCF of 1090 and 1094 is 2

Greatest Common Factor of 1090 and 1094 by matching factors method

Factors of 1090

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

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

Factors of 1094

List of positive integer factors of 1094 that divides 1094 without a remainder.

1,2,547,1094

Greatest Common Factor

We found the factors and prime factorization of 1090 and 1094. The biggest common factor number is the GCF number.
So the greatest common factor 1090 and 1094 is 2.

Also check out the Least Common Multiple of 1090 and 1094

Properties of GCF 1090 and 1094

(i) The GCF of 1090 and 1094 is associative

GCF of 1090 and 1094 = GCF of 1094 and 1090

Related Greatest Common Factor of 1090

Related Greatest Common Factor of 1094

Frequently Asked Questions on GCF of 1090 and 1094

1. What is the GCF of 1090 and 1094?

Answer: GCF of 1090 and 1094 is 2.

2. 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.

3. What are the Factors of 1094?

Answer: Factors of 1094 are 1, 2, 547, 1094. There are 4 integers that are factors of 1094. The greatest factor of 1094 is 1094.

4. How to Find the GCF of 1090 and 1094?

Answer:

Greatest Common Factor of 1090 and 1094 = 2

Step 1: Find the prime factorization of 1090

1090 = 2 x 5 x 109

Step 2: Find the prime factorization of 1094

1094 = 2 x 547

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

GCF = 2

Step 4: Therefore, the greatest common factor of 1090 and 1094 is 2