Greatest Common Factor of 9052 and 9053

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 9052, 9053 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9052 and 9053 is 1.

GCF(9052,9053) = 1

GCF of 9052 and 9053

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

GCF of:
and

Greatest Common Factor of 9052 and 9053

GCF of 9052 and 9053 is 1

Prime Factorization of 9052


2 9052
2 4526
31 2263
73 73
1

Prime factors of 9052 are 2,31,73. Prime factorization of 9052 in exponential form is:

9052 = 22×311×731

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

∴ So by taking common prime factors GCF of 9052 and 9053 is 1

Greatest Common Factor of 9052 and 9053 by matching factors method

Factors of 9052

List of positive integer factors of 9052 that divides 9052 without a remainder.

1,2,4,31,62,73,124,146,292,2263,4526,9052

Factors of 9053

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

1,11,823,9053

Greatest Common Factor

We found the factors and prime factorization of 9052 and 9053. The biggest common factor number is the GCF number.
So the greatest common factor 9052 and 9053 is 1.

Also check out the Least Common Multiple of 9052 and 9053

Properties of GCF 9052 and 9053

(i) The GCF of 9052 and 9053 is associative

GCF of 9052 and 9053 = GCF of 9053 and 9052

Frequently Asked Questions on GCF of 9052 and 9053

1. What is the GCF of 9052 and 9053?

Answer: GCF of 9052 and 9053 is 1.

2. What are the Factors of 9052?

Answer: Factors of 9052 are 1, 2, 4, 31, 62, 73, 124, 146, 292, 2263, 4526, 9052. There are 12 integers that are factors of 9052. The greatest factor of 9052 is 9052.

3. 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.

4. How to Find the GCF of 9052 and 9053?

Answer:

Greatest Common Factor of 9052 and 9053 = 1

Step 1: Find the prime factorization of 9052

9052 = 2 x 2 x 31 x 73

Step 2: Find the prime factorization of 9053

9053 = 11 x 823

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 9052 and 9053 is 1