Greatest Common Factor of 3045 and 3050

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 3045, 3050 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3045 and 3050 is 5.

GCF(3045,3050) = 5

GCF of 3045 and 3050

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

GCF of:
and

Greatest Common Factor of 3045 and 3050

GCF of 3045 and 3050 is 5

Prime Factorization of 3045


3 3045
5 1015
7 203
29 29
1

Prime factors of 3045 are 3,5,7,29. Prime factorization of 3045 in exponential form is:

3045 = 31×51×71×291

Prime Factorization of 3050


2 3050
5 1525
5 305
61 61
1

Prime factors of 3050 are 2,5,61. Prime factorization of 3050 in exponential form is:

3050 = 21×52×611

∴ So by taking common prime factors GCF of 3045 and 3050 is 5

Greatest Common Factor of 3045 and 3050 by matching factors method

Factors of 3045

List of positive integer factors of 3045 that divides 3045 without a remainder.

1,3,5,7,15,21,29,35,87,105,145,203,435,609,1015,3045

Factors of 3050

List of positive integer factors of 3050 that divides 3050 without a remainder.

1,2,5,10,25,50,61,122,305,610,1525,3050

Greatest Common Factor

We found the factors and prime factorization of 3045 and 3050. The biggest common factor number is the GCF number.
So the greatest common factor 3045 and 3050 is 5.

Also check out the Least Common Multiple of 3045 and 3050

Properties of GCF 3045 and 3050

(i) The GCF of 3045 and 3050 is associative

GCF of 3045 and 3050 = GCF of 3050 and 3045

Related Greatest Common Factor of 3045

Related Greatest Common Factor of 3050

Frequently Asked Questions on GCF of 3045 and 3050

1. What is the GCF of 3045 and 3050?

Answer: GCF of 3045 and 3050 is 5.

2. What are the Factors of 3045?

Answer: Factors of 3045 are 1, 3, 5, 7, 15, 21, 29, 35, 87, 105, 145, 203, 435, 609, 1015, 3045. There are 16 integers that are factors of 3045. The greatest factor of 3045 is 3045.

3. What are the Factors of 3050?

Answer: Factors of 3050 are 1, 2, 5, 10, 25, 50, 61, 122, 305, 610, 1525, 3050. There are 12 integers that are factors of 3050. The greatest factor of 3050 is 3050.

4. How to Find the GCF of 3045 and 3050?

Answer:

Greatest Common Factor of 3045 and 3050 = 5

Step 1: Find the prime factorization of 3045

3045 = 3 x 5 x 7 x 29

Step 2: Find the prime factorization of 3050

3050 = 2 x 5 x 5 x 61

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 3045 and 3050 is 5