What is the Greatest Common Factor of 1134 and 1141?

Greatest common factor (GCF) of 1134 and 1141 is 7.

GCF(1134,1141) = 7

We will now calculate the prime factors of 1134 and 1141, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1134 and 1141.

How to find the GCF of 1134 and 1141?

We will first find the prime factorization of 1134 and 1141. After we will calculate the factors of 1134 and 1141 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 1141

Prime factors of 1141 are 7, 163. Prime factorization of 1141 in exponential form is:

1141 = 7¹ × 163¹

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 1141

List of positive integer factors of 1141 that divides 1134 without a remainder.

1, 7, 163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1134 and 1141. The biggest common factor number is the GCF number.
So the greatest common factor 1134 and 1141 is 7.

Also check out the Least Common Multiple of 1134 and 1141