Greatest Common Factor of 1133 and 1141

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 1133, 1141 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1133 and 1141 is 1.

GCF(1133,1141) = 1

GCF of 1133 and 1141

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 1133 and 1141

GCF of 1133 and 1141 is 1

Prime Factorization of 1133


11 1133
103 103
1

Prime factors of 1133 are 11,103. Prime factorization of 1133 in exponential form is:

1133 = 111×1031

Prime Factorization of 1141


7 1141
163 163
1

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

1141 = 71×1631

∴ So by taking common prime factors GCF of 1133 and 1141 is 1

Greatest Common Factor of 1133 and 1141 by matching factors method

Factors of 1133

List of positive integer factors of 1133 that divides 1133 without a remainder.

1,11,103,1133

Factors of 1141

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

1,7,163,1141

Greatest Common Factor

We found the factors and prime factorization of 1133 and 1141. The biggest common factor number is the GCF number.
So the greatest common factor 1133 and 1141 is 1.

Also check out the Least Common Multiple of 1133 and 1141

Properties of GCF 1133 and 1141

(i) The GCF of 1133 and 1141 is associative

GCF of 1133 and 1141 = GCF of 1141 and 1133

Related Greatest Common Factor of 1133

Related Greatest Common Factor of 1141

Frequently Asked Questions on GCF of 1133 and 1141

1. What is the GCF of 1133 and 1141?

Answer: GCF of 1133 and 1141 is 1.

2. What are the Factors of 1133?

Answer: Factors of 1133 are 1, 11, 103, 1133. There are 4 integers that are factors of 1133. The greatest factor of 1133 is 1133.

3. What are the Factors of 1141?

Answer: Factors of 1141 are 1, 7, 163, 1141. There are 4 integers that are factors of 1141. The greatest factor of 1141 is 1141.

4. How to Find the GCF of 1133 and 1141?

Answer:

Greatest Common Factor of 1133 and 1141 = 1

Step 1: Find the prime factorization of 1133

1133 = 11 x 103

Step 2: Find the prime factorization of 1141

1141 = 7 x 163

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 1133 and 1141 is 1