What is the Greatest Common Factor of 1122 and 1130?

Greatest common factor (GCF) of 1122 and 1130 is 2.

GCF(1122,1130) = 2

We will now calculate the prime factors of 1122 and 1130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1122 and 1130.

How to find the GCF of 1122 and 1130?

We will first find the prime factorization of 1122 and 1130. After we will calculate the factors of 1122 and 1130 and find the biggest common factor number .

Step-1: Prime Factorization of 1122

Prime factors of 1122 are 2, 3, 11, 17. Prime factorization of 1122 in exponential form is:

1122 = 2¹ × 3¹ × 11¹ × 17¹

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 1122

List of positive integer factors of 1122 that divides 1122 without a remainder.

1, 2, 3, 6, 11, 17, 22, 33, 34, 51, 66, 102, 187, 374, 561

Step-4: Factors of 1130

List of positive integer factors of 1130 that divides 1122 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1122 and 1130. The biggest common factor number is the GCF number.
So the greatest common factor 1122 and 1130 is 2.

Also check out the Least Common Multiple of 1122 and 1130