Greatest Common Factor of 9053 and 9061

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 9053, 9061 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9053 and 9061 is 1.

GCF(9053,9061) = 1

GCF of 9053 and 9061

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

GCF of:
and

Greatest Common Factor of 9053 and 9061

GCF of 9053 and 9061 is 1

Prime Factorization of 9053


11 9053
823 823
1

Prime factors of 9053 are 11,823. Prime factorization of 9053 in exponential form is:

9053 = 111×8231

Prime Factorization of 9061


13 9061
17 697
41 41
1

Prime factors of 9061 are 13,17,41. Prime factorization of 9061 in exponential form is:

9061 = 131×171×411

∴ So by taking common prime factors GCF of 9053 and 9061 is 1

Greatest Common Factor of 9053 and 9061 by matching factors method

Factors of 9053

List of positive integer factors of 9053 that divides 9053 without a remainder.

1,11,823,9053

Factors of 9061

List of positive integer factors of 9061 that divides 9061 without a remainder.

1,13,17,41,221,533,697,9061

Greatest Common Factor

We found the factors and prime factorization of 9053 and 9061. The biggest common factor number is the GCF number.
So the greatest common factor 9053 and 9061 is 1.

Also check out the Least Common Multiple of 9053 and 9061

Properties of GCF 9053 and 9061

(i) The GCF of 9053 and 9061 is associative

GCF of 9053 and 9061 = GCF of 9061 and 9053

Related Greatest Common Factor of 9053

Related Greatest Common Factor of 9061

Frequently Asked Questions on GCF of 9053 and 9061

1. What is the GCF of 9053 and 9061?

Answer: GCF of 9053 and 9061 is 1.

2. What are the Factors of 9053?

Answer: Factors of 9053 are 1, 11, 823, 9053. There are 4 integers that are factors of 9053. The greatest factor of 9053 is 9053.

3. What are the Factors of 9061?

Answer: Factors of 9061 are 1, 13, 17, 41, 221, 533, 697, 9061. There are 8 integers that are factors of 9061. The greatest factor of 9061 is 9061.

4. How to Find the GCF of 9053 and 9061?

Answer:

Greatest Common Factor of 9053 and 9061 = 1

Step 1: Find the prime factorization of 9053

9053 = 11 x 823

Step 2: Find the prime factorization of 9061

9061 = 13 x 17 x 41

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 9053 and 9061 is 1