Greatest Common Factor of 1146 and 1147

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 1146, 1147 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1146 and 1147 is 1.

GCF(1146,1147) = 1

GCF of 1146 and 1147

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

GCF of:
and

Greatest Common Factor of 1146 and 1147

GCF of 1146 and 1147 is 1

Prime Factorization of 1146


2 1146
3 573
191 191
1

Prime factors of 1146 are 2,3,191. Prime factorization of 1146 in exponential form is:

1146 = 21×31×1911

Prime Factorization of 1147


31 1147
37 37
1

Prime factors of 1147 are 31,37. Prime factorization of 1147 in exponential form is:

1147 = 311×371

∴ So by taking common prime factors GCF of 1146 and 1147 is 1

Greatest Common Factor of 1146 and 1147 by matching factors method

Factors of 1146

List of positive integer factors of 1146 that divides 1146 without a remainder.

1,2,3,6,191,382,573,1146

Factors of 1147

List of positive integer factors of 1147 that divides 1147 without a remainder.

1,31,37,1147

Greatest Common Factor

We found the factors and prime factorization of 1146 and 1147. The biggest common factor number is the GCF number.
So the greatest common factor 1146 and 1147 is 1.

Also check out the Least Common Multiple of 1146 and 1147

Properties of GCF 1146 and 1147

(i) The GCF of 1146 and 1147 is associative

GCF of 1146 and 1147 = GCF of 1147 and 1146

Related Greatest Common Factor of 1146

Related Greatest Common Factor of 1147

Frequently Asked Questions on GCF of 1146 and 1147

1. What is the GCF of 1146 and 1147?

Answer: GCF of 1146 and 1147 is 1.

2. What are the Factors of 1146?

Answer: Factors of 1146 are 1, 2, 3, 6, 191, 382, 573, 1146. There are 8 integers that are factors of 1146. The greatest factor of 1146 is 1146.

3. What are the Factors of 1147?

Answer: Factors of 1147 are 1, 31, 37, 1147. There are 4 integers that are factors of 1147. The greatest factor of 1147 is 1147.

4. How to Find the GCF of 1146 and 1147?

Answer:

Greatest Common Factor of 1146 and 1147 = 1

Step 1: Find the prime factorization of 1146

1146 = 2 x 3 x 191

Step 2: Find the prime factorization of 1147

1147 = 31 x 37

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 1146 and 1147 is 1