Greatest Common Factor of 1045 and 1050

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, 1050 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1045 and 1050 is 5.

GCF(1045,1050) = 5

GCF of 1045 and 1050

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

GCF of:
and

Greatest Common Factor of 1045 and 1050

GCF of 1045 and 1050 is 5

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 1050


2 1050
3 525
5 175
5 35
7 7
1

Prime factors of 1050 are 2,3,5,7. Prime factorization of 1050 in exponential form is:

1050 = 21×31×52×71

∴ So by taking common prime factors GCF of 1045 and 1050 is 5

Greatest Common Factor of 1045 and 1050 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 1050

List of positive integer factors of 1050 that divides 1050 without a remainder.

1,2,3,5,6,7,10,14,15,21,25,30,35,42,50,70,75,105,150,175,210,350,525,1050

Greatest Common Factor

We found the factors and prime factorization of 1045 and 1050. The biggest common factor number is the GCF number.
So the greatest common factor 1045 and 1050 is 5.

Also check out the Least Common Multiple of 1045 and 1050

Properties of GCF 1045 and 1050

(i) The GCF of 1045 and 1050 is associative

GCF of 1045 and 1050 = GCF of 1050 and 1045

Related Greatest Common Factor of 1045

Related Greatest Common Factor of 1050

Frequently Asked Questions on GCF of 1045 and 1050

1. What is the GCF of 1045 and 1050?

Answer: GCF of 1045 and 1050 is 5.

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 1050?

Answer: Factors of 1050 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 50, 70, 75, 105, 150, 175, 210, 350, 525, 1050. There are 24 integers that are factors of 1050. The greatest factor of 1050 is 1050.

4. How to Find the GCF of 1045 and 1050?

Answer:

Greatest Common Factor of 1045 and 1050 = 5

Step 1: Find the prime factorization of 1045

1045 = 5 x 11 x 19

Step 2: Find the prime factorization of 1050

1050 = 2 x 3 x 5 x 5 x 7

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

GCF = 5

Step 4: Therefore, the greatest common factor of 1045 and 1050 is 5