Greatest Common Factor of 3050 and 3055

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 3050, 3055 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3050 and 3055 is 5.

GCF(3050,3055) = 5

GCF of 3050 and 3055

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

GCF of:
and

Greatest Common Factor of 3050 and 3055

GCF of 3050 and 3055 is 5

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

Prime Factorization of 3055


5 3055
13 611
47 47
1

Prime factors of 3055 are 5,13,47. Prime factorization of 3055 in exponential form is:

3055 = 51×131×471

∴ So by taking common prime factors GCF of 3050 and 3055 is 5

Greatest Common Factor of 3050 and 3055 by matching factors method

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

Factors of 3055

List of positive integer factors of 3055 that divides 3055 without a remainder.

1,5,13,47,65,235,611,3055

Greatest Common Factor

We found the factors and prime factorization of 3050 and 3055. The biggest common factor number is the GCF number.
So the greatest common factor 3050 and 3055 is 5.

Also check out the Least Common Multiple of 3050 and 3055

Properties of GCF 3050 and 3055

(i) The GCF of 3050 and 3055 is associative

GCF of 3050 and 3055 = GCF of 3055 and 3050

Related Greatest Common Factor of 3050

Related Greatest Common Factor of 3055

Frequently Asked Questions on GCF of 3050 and 3055

1. What is the GCF of 3050 and 3055?

Answer: GCF of 3050 and 3055 is 5.

2. 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.

3. What are the Factors of 3055?

Answer: Factors of 3055 are 1, 5, 13, 47, 65, 235, 611, 3055. There are 8 integers that are factors of 3055. The greatest factor of 3055 is 3055.

4. How to Find the GCF of 3050 and 3055?

Answer:

Greatest Common Factor of 3050 and 3055 = 5

Step 1: Find the prime factorization of 3050

3050 = 2 x 5 x 5 x 61

Step 2: Find the prime factorization of 3055

3055 = 5 x 13 x 47

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 3050 and 3055 is 5