What is the Greatest Common Factor of 1119 and 1134?

Greatest common factor (GCF) of 1119 and 1134 is 3.

GCF(1119,1134) = 3

We will now calculate the prime factors of 1119 and 1134, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1119 and 1134.

How to find the GCF of 1119 and 1134?

We will first find the prime factorization of 1119 and 1134. After we will calculate the factors of 1119 and 1134 and find the biggest common factor number .

Step-1: Prime Factorization of 1119

Prime factors of 1119 are 3, 373. Prime factorization of 1119 in exponential form is:

1119 = 3¹ × 373¹

Step-2: Prime Factorization of 1134

Prime factors of 1134 are 2, 3, 7. Prime factorization of 1134 in exponential form is:

1134 = 2¹ × 3⁴ × 7¹

Step-3: Factors of 1119

List of positive integer factors of 1119 that divides 1119 without a remainder.

1, 3, 373

Step-4: Factors of 1134

List of positive integer factors of 1134 that divides 1119 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 81, 126, 162, 189, 378, 567

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1119 and 1134. The biggest common factor number is the GCF number.
So the greatest common factor 1119 and 1134 is 3.

Also check out the Least Common Multiple of 1119 and 1134