What is the Greatest Common Factor of 1141 and 1154?

Greatest common factor (GCF) of 1141 and 1154 is 1.

GCF(1141,1154) = 1

We will now calculate the prime factors of 1141 and 1154, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1141 and 1154.

How to find the GCF of 1141 and 1154?

We will first find the prime factorization of 1141 and 1154. After we will calculate the factors of 1141 and 1154 and find the biggest common factor number .

Step-1: Prime Factorization of 1141

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

1141 = 7¹ × 163¹

Step-2: Prime Factorization of 1154

Prime factors of 1154 are 2, 577. Prime factorization of 1154 in exponential form is:

1154 = 2¹ × 577¹

Step-3: Factors of 1141

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

1, 7, 163

Step-4: Factors of 1154

List of positive integer factors of 1154 that divides 1141 without a remainder.

1, 2, 577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1141 and 1154. The biggest common factor number is the GCF number.
So the greatest common factor 1141 and 1154 is 1.

Also check out the Least Common Multiple of 1141 and 1154