Greatest Common Factor of 9052 and 9058

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, 9058 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9052 and 9058 is 2.

GCF(9052,9058) = 2

GCF of 9052 and 9058

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

GCF of:
and

Greatest Common Factor of 9052 and 9058

GCF of 9052 and 9058 is 2

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 9058


2 9058
7 4529
647 647
1

Prime factors of 9058 are 2,7,647. Prime factorization of 9058 in exponential form is:

9058 = 21×71×6471

∴ So by taking common prime factors GCF of 9052 and 9058 is 2

Greatest Common Factor of 9052 and 9058 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 9058

List of positive integer factors of 9058 that divides 9058 without a remainder.

1,2,7,14,647,1294,4529,9058

Greatest Common Factor

We found the factors and prime factorization of 9052 and 9058. The biggest common factor number is the GCF number.
So the greatest common factor 9052 and 9058 is 2.

Also check out the Least Common Multiple of 9052 and 9058

Properties of GCF 9052 and 9058

(i) The GCF of 9052 and 9058 is associative

GCF of 9052 and 9058 = GCF of 9058 and 9052

Related Greatest Common Factor of 9052

Related Greatest Common Factor of 9058

Frequently Asked Questions on GCF of 9052 and 9058

1. What is the GCF of 9052 and 9058?

Answer: GCF of 9052 and 9058 is 2.

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 9058?

Answer: Factors of 9058 are 1, 2, 7, 14, 647, 1294, 4529, 9058. There are 8 integers that are factors of 9058. The greatest factor of 9058 is 9058.

4. How to Find the GCF of 9052 and 9058?

Answer:

Greatest Common Factor of 9052 and 9058 = 2

Step 1: Find the prime factorization of 9052

9052 = 2 x 2 x 31 x 73

Step 2: Find the prime factorization of 9058

9058 = 2 x 7 x 647

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 9052 and 9058 is 2