Greatest Common Factor of 3053 and 3061

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 3053, 3061 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3053 and 3061 is 1.

GCF(3053,3061) = 1

GCF of 3053 and 3061

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

GCF of:
and

Greatest Common Factor of 3053 and 3061

GCF of 3053 and 3061 is 1

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

Prime Factorization of 3061


3061 3061
1

Prime factors of 3061 are 3061. Prime factorization of 3061 in exponential form is:

3061 = 30611

∴ So by taking common prime factors GCF of 3053 and 3061 is 1

Greatest Common Factor of 3053 and 3061 by matching factors method

Factors of 3053

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

1,43,71,3053

Factors of 3061

List of positive integer factors of 3061 that divides 3061 without a remainder.

1,3061

Greatest Common Factor

We found the factors and prime factorization of 3053 and 3061. The biggest common factor number is the GCF number.
So the greatest common factor 3053 and 3061 is 1.

Also check out the Least Common Multiple of 3053 and 3061

Properties of GCF 3053 and 3061

(i) The GCF of 3053 and 3061 is associative

GCF of 3053 and 3061 = GCF of 3061 and 3053

Related Greatest Common Factor of 3053

Related Greatest Common Factor of 3061

Frequently Asked Questions on GCF of 3053 and 3061

1. What is the GCF of 3053 and 3061?

Answer: GCF of 3053 and 3061 is 1.

2. 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.

3. What are the Factors of 3061?

Answer: Factors of 3061 are 1, 3061. There are 2 integers that are factors of 3061. The greatest factor of 3061 is 3061.

4. How to Find the GCF of 3053 and 3061?

Answer:

Greatest Common Factor of 3053 and 3061 = 1

Step 1: Find the prime factorization of 3053

3053 = 43 x 71

Step 2: Find the prime factorization of 3061

3061 = 3061

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 3053 and 3061 is 1