What is the Greatest Common Factor of 1134 and 1149?

Greatest common factor (GCF) of 1134 and 1149 is 3.

GCF(1134,1149) = 3

We will now calculate the prime factors of 1134 and 1149, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1134 and 1149.

How to find the GCF of 1134 and 1149?

We will first find the prime factorization of 1134 and 1149. After we will calculate the factors of 1134 and 1149 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 1149

Prime factors of 1149 are 3, 383. Prime factorization of 1149 in exponential form is:

1149 = 3¹ × 383¹

Step-3: Factors of 1134

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

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

Step-4: Factors of 1149

List of positive integer factors of 1149 that divides 1134 without a remainder.

1, 3, 383

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1134 and 1149. The biggest common factor number is the GCF number.
So the greatest common factor 1134 and 1149 is 3.

Also check out the Least Common Multiple of 1134 and 1149