What is the Greatest Common Factor of 1090 and 1110?

Greatest common factor (GCF) of 1090 and 1110 is 10.

GCF(1090,1110) = 10

We will now calculate the prime factors of 1090 and 1110, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1090 and 1110.

How to find the GCF of 1090 and 1110?

We will first find the prime factorization of 1090 and 1110. After we will calculate the factors of 1090 and 1110 and find the biggest common factor number .

Step-1: Prime Factorization of 1090

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

1090 = 2¹ × 5¹ × 109¹

Step-2: Prime Factorization of 1110

Prime factors of 1110 are 2, 3, 5, 37. Prime factorization of 1110 in exponential form is:

1110 = 2¹ × 3¹ × 5¹ × 37¹

Step-3: Factors of 1090

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

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

Step-4: Factors of 1110

List of positive integer factors of 1110 that divides 1090 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 37, 74, 111, 185, 222, 370, 555

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1090 and 1110. The biggest common factor number is the GCF number.
So the greatest common factor 1090 and 1110 is 10.

Also check out the Least Common Multiple of 1090 and 1110