What is the Greatest Common Factor of 1114 and 1131?

Greatest common factor (GCF) of 1114 and 1131 is 1.

GCF(1114,1131) = 1

We will now calculate the prime factors of 1114 and 1131, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1114 and 1131.

How to find the GCF of 1114 and 1131?

We will first find the prime factorization of 1114 and 1131. After we will calculate the factors of 1114 and 1131 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 1131

Prime factors of 1131 are 3, 13, 29. Prime factorization of 1131 in exponential form is:

1131 = 3¹ × 13¹ × 29¹

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 1131

List of positive integer factors of 1131 that divides 1114 without a remainder.

1, 3, 13, 29, 39, 87, 377

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1114 and 1131. The biggest common factor number is the GCF number.
So the greatest common factor 1114 and 1131 is 1.

Also check out the Least Common Multiple of 1114 and 1131