What is the Greatest Common Factor of 1110 and 1130?

Greatest common factor (GCF) of 1110 and 1130 is 10.

GCF(1110,1130) = 10

We will now calculate the prime factors of 1110 and 1130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1110 and 1130.

How to find the GCF of 1110 and 1130?

We will first find the prime factorization of 1110 and 1130. After we will calculate the factors of 1110 and 1130 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 1130

Prime factors of 1130 are 2, 5, 113. Prime factorization of 1130 in exponential form is:

1130 = 2¹ × 5¹ × 113¹

Step-3: Factors of 1110

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

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

Step-4: Factors of 1130

List of positive integer factors of 1130 that divides 1110 without a remainder.

1, 2, 5, 10, 113, 226, 565

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1110 and 1130. The biggest common factor number is the GCF number.
So the greatest common factor 1110 and 1130 is 10.

Also check out the Least Common Multiple of 1110 and 1130