Greatest Common Factor of 3050 and 3053

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, 3053 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3050 and 3053 is 1.

GCF(3050,3053) = 1

GCF of 3050 and 3053

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

GCF of:
and

Greatest Common Factor of 3050 and 3053

GCF of 3050 and 3053 is 1

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 3053


43 3053
71 71
1

Prime factors of 3053 are 43,71. Prime factorization of 3053 in exponential form is:

3053 = 431×711

∴ So by taking common prime factors GCF of 3050 and 3053 is 1

Greatest Common Factor of 3050 and 3053 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 3053

List of positive integer factors of 3053 that divides 3053 without a remainder.

1,43,71,3053

Greatest Common Factor

We found the factors and prime factorization of 3050 and 3053. The biggest common factor number is the GCF number.
So the greatest common factor 3050 and 3053 is 1.

Also check out the Least Common Multiple of 3050 and 3053

Properties of GCF 3050 and 3053

(i) The GCF of 3050 and 3053 is associative

GCF of 3050 and 3053 = GCF of 3053 and 3050

Related Greatest Common Factor of 3050

Related Greatest Common Factor of 3053

Frequently Asked Questions on GCF of 3050 and 3053

1. What is the GCF of 3050 and 3053?

Answer: GCF of 3050 and 3053 is 1.

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 3053?

Answer: Factors of 3053 are 1, 43, 71, 3053. There are 4 integers that are factors of 3053. The greatest factor of 3053 is 3053.

4. How to Find the GCF of 3050 and 3053?

Answer:

Greatest Common Factor of 3050 and 3053 = 1

Step 1: Find the prime factorization of 3050

3050 = 2 x 5 x 5 x 61

Step 2: Find the prime factorization of 3053

3053 = 43 x 71

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 3050 and 3053 is 1