What is the Greatest Common Factor of 1114 and 1132?

Greatest common factor (GCF) of 1114 and 1132 is 2.

GCF(1114,1132) = 2

We will now calculate the prime factors of 1114 and 1132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1114 and 1132.

How to find the GCF of 1114 and 1132?

We will first find the prime factorization of 1114 and 1132. After we will calculate the factors of 1114 and 1132 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 1132

Prime factors of 1132 are 2, 283. Prime factorization of 1132 in exponential form is:

1132 = 2² × 283¹

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 1132

List of positive integer factors of 1132 that divides 1114 without a remainder.

1, 2, 4, 283, 566

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1114 and 1132. The biggest common factor number is the GCF number.
So the greatest common factor 1114 and 1132 is 2.

Also check out the Least Common Multiple of 1114 and 1132