Greatest Common Factor of 1041 and 1049

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 1041, 1049 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1041 and 1049 is 1.

GCF(1041,1049) = 1

GCF of 1041 and 1049

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

GCF of:
and

Greatest Common Factor of 1041 and 1049

GCF of 1041 and 1049 is 1

Prime Factorization of 1041


3 1041
347 347
1

Prime factors of 1041 are 3,347. Prime factorization of 1041 in exponential form is:

1041 = 31×3471

Prime Factorization of 1049


1049 1049
1

Prime factors of 1049 are 1049. Prime factorization of 1049 in exponential form is:

1049 = 10491

∴ So by taking common prime factors GCF of 1041 and 1049 is 1

Greatest Common Factor of 1041 and 1049 by matching factors method

Factors of 1041

List of positive integer factors of 1041 that divides 1041 without a remainder.

1,3,347,1041

Factors of 1049

List of positive integer factors of 1049 that divides 1049 without a remainder.

1,1049

Greatest Common Factor

We found the factors and prime factorization of 1041 and 1049. The biggest common factor number is the GCF number.
So the greatest common factor 1041 and 1049 is 1.

Also check out the Least Common Multiple of 1041 and 1049

Properties of GCF 1041 and 1049

(i) The GCF of 1041 and 1049 is associative

GCF of 1041 and 1049 = GCF of 1049 and 1041

Related Greatest Common Factor of 1041

Related Greatest Common Factor of 1049

Frequently Asked Questions on GCF of 1041 and 1049

1. What is the GCF of 1041 and 1049?

Answer: GCF of 1041 and 1049 is 1.

2. What are the Factors of 1041?

Answer: Factors of 1041 are 1, 3, 347, 1041. There are 4 integers that are factors of 1041. The greatest factor of 1041 is 1041.

3. What are the Factors of 1049?

Answer: Factors of 1049 are 1, 1049. There are 2 integers that are factors of 1049. The greatest factor of 1049 is 1049.

4. How to Find the GCF of 1041 and 1049?

Answer:

Greatest Common Factor of 1041 and 1049 = 1

Step 1: Find the prime factorization of 1041

1041 = 3 x 347

Step 2: Find the prime factorization of 1049

1049 = 1049

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 1041 and 1049 is 1