Greatest Common Factor of 1141 and 1149

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 1141, 1149 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1141 and 1149 is 1.

GCF(1141,1149) = 1

GCF of 1141 and 1149

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

GCF of:
and

Greatest Common Factor of 1141 and 1149

GCF of 1141 and 1149 is 1

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

Prime Factorization of 1149


3 1149
383 383
1

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

1149 = 31×3831

∴ So by taking common prime factors GCF of 1141 and 1149 is 1

Greatest Common Factor of 1141 and 1149 by matching factors method

Factors of 1141

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

1,7,163,1141

Factors of 1149

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

1,3,383,1149

Greatest Common Factor

We found the factors and prime factorization of 1141 and 1149. The biggest common factor number is the GCF number.
So the greatest common factor 1141 and 1149 is 1.

Also check out the Least Common Multiple of 1141 and 1149

Properties of GCF 1141 and 1149

(i) The GCF of 1141 and 1149 is associative

GCF of 1141 and 1149 = GCF of 1149 and 1141

Related Greatest Common Factor of 1141

Related Greatest Common Factor of 1149

Frequently Asked Questions on GCF of 1141 and 1149

1. What is the GCF of 1141 and 1149?

Answer: GCF of 1141 and 1149 is 1.

2. 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.

3. What are the Factors of 1149?

Answer: Factors of 1149 are 1, 3, 383, 1149. There are 4 integers that are factors of 1149. The greatest factor of 1149 is 1149.

4. How to Find the GCF of 1141 and 1149?

Answer:

Greatest Common Factor of 1141 and 1149 = 1

Step 1: Find the prime factorization of 1141

1141 = 7 x 163

Step 2: Find the prime factorization of 1149

1149 = 3 x 383

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 1141 and 1149 is 1