What is the Greatest Common Factor of 1114 and 1122?

Greatest common factor (GCF) of 1114 and 1122 is 2.

GCF(1114,1122) = 2

We will now calculate the prime factors of 1114 and 1122, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1114 and 1122.

How to find the GCF of 1114 and 1122?

We will first find the prime factorization of 1114 and 1122. After we will calculate the factors of 1114 and 1122 and find the biggest common factor number .

Step-1: Prime Factorization of 1114

Prime factors of 1114 are 2, 557. Prime factorization of 1114 in exponential form is:

1114 = 2¹ × 557¹

Step-2: 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-3: Factors of 1114

List of positive integer factors of 1114 that divides 1114 without a remainder.

1, 2, 557

Step-4: Factors of 1122

List of positive integer factors of 1122 that divides 1114 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1114 and 1122. The biggest common factor number is the GCF number.
So the greatest common factor 1114 and 1122 is 2.

Also check out the Least Common Multiple of 1114 and 1122