Greatest Common Factor of 1045 and 1051

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 1045, 1051 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1045 and 1051 is 1.

GCF(1045,1051) = 1

GCF of 1045 and 1051

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

GCF of:
and

Greatest Common Factor of 1045 and 1051

GCF of 1045 and 1051 is 1

Prime Factorization of 1045


5 1045
11 209
19 19
1

Prime factors of 1045 are 5,11,19. Prime factorization of 1045 in exponential form is:

1045 = 51×111×191

Prime Factorization of 1051


1051 1051
1

Prime factors of 1051 are 1051. Prime factorization of 1051 in exponential form is:

1051 = 10511

∴ So by taking common prime factors GCF of 1045 and 1051 is 1

Greatest Common Factor of 1045 and 1051 by matching factors method

Factors of 1045

List of positive integer factors of 1045 that divides 1045 without a remainder.

1,5,11,19,55,95,209,1045

Factors of 1051

List of positive integer factors of 1051 that divides 1051 without a remainder.

1,1051

Greatest Common Factor

We found the factors and prime factorization of 1045 and 1051. The biggest common factor number is the GCF number.
So the greatest common factor 1045 and 1051 is 1.

Also check out the Least Common Multiple of 1045 and 1051

Properties of GCF 1045 and 1051

(i) The GCF of 1045 and 1051 is associative

GCF of 1045 and 1051 = GCF of 1051 and 1045

Related Greatest Common Factor of 1045

Related Greatest Common Factor of 1051

Frequently Asked Questions on GCF of 1045 and 1051

1. What is the GCF of 1045 and 1051?

Answer: GCF of 1045 and 1051 is 1.

2. What are the Factors of 1045?

Answer: Factors of 1045 are 1, 5, 11, 19, 55, 95, 209, 1045. There are 8 integers that are factors of 1045. The greatest factor of 1045 is 1045.

3. What are the Factors of 1051?

Answer: Factors of 1051 are 1, 1051. There are 2 integers that are factors of 1051. The greatest factor of 1051 is 1051.

4. How to Find the GCF of 1045 and 1051?

Answer:

Greatest Common Factor of 1045 and 1051 = 1

Step 1: Find the prime factorization of 1045

1045 = 5 x 11 x 19

Step 2: Find the prime factorization of 1051

1051 = 1051

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 1045 and 1051 is 1