Greatest Common Factor of 9028 and 9033

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 9028, 9033 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9028 and 9033 is 1.

GCF(9028,9033) = 1

GCF of 9028 and 9033

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

GCF of:
and

Greatest Common Factor of 9028 and 9033

GCF of 9028 and 9033 is 1

Prime Factorization of 9028


2 9028
2 4514
37 2257
61 61
1

Prime factors of 9028 are 2,37,61. Prime factorization of 9028 in exponential form is:

9028 = 22×371×611

Prime Factorization of 9033


3 9033
3011 3011
1

Prime factors of 9033 are 3,3011. Prime factorization of 9033 in exponential form is:

9033 = 31×30111

∴ So by taking common prime factors GCF of 9028 and 9033 is 1

Greatest Common Factor of 9028 and 9033 by matching factors method

Factors of 9028

List of positive integer factors of 9028 that divides 9028 without a remainder.

1,2,4,37,61,74,122,148,244,2257,4514,9028

Factors of 9033

List of positive integer factors of 9033 that divides 9033 without a remainder.

1,3,3011,9033

Greatest Common Factor

We found the factors and prime factorization of 9028 and 9033. The biggest common factor number is the GCF number.
So the greatest common factor 9028 and 9033 is 1.

Also check out the Least Common Multiple of 9028 and 9033

Properties of GCF 9028 and 9033

(i) The GCF of 9028 and 9033 is associative

GCF of 9028 and 9033 = GCF of 9033 and 9028

Frequently Asked Questions on GCF of 9028 and 9033

1. What is the GCF of 9028 and 9033?

Answer: GCF of 9028 and 9033 is 1.

2. What are the Factors of 9028?

Answer: Factors of 9028 are 1, 2, 4, 37, 61, 74, 122, 148, 244, 2257, 4514, 9028. There are 12 integers that are factors of 9028. The greatest factor of 9028 is 9028.

3. What are the Factors of 9033?

Answer: Factors of 9033 are 1, 3, 3011, 9033. There are 4 integers that are factors of 9033. The greatest factor of 9033 is 9033.

4. How to Find the GCF of 9028 and 9033?

Answer:

Greatest Common Factor of 9028 and 9033 = 1

Step 1: Find the prime factorization of 9028

9028 = 2 x 2 x 37 x 61

Step 2: Find the prime factorization of 9033

9033 = 3 x 3011

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 9028 and 9033 is 1