Greatest Common Factor of 9028 and 9029

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, 9029 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9028 and 9029 is 1.

GCF(9028,9029) = 1

GCF of 9028 and 9029

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

GCF of:
and

Greatest Common Factor of 9028 and 9029

GCF of 9028 and 9029 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 9029


9029 9029
1

Prime factors of 9029 are 9029. Prime factorization of 9029 in exponential form is:

9029 = 90291

∴ So by taking common prime factors GCF of 9028 and 9029 is 1

Greatest Common Factor of 9028 and 9029 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 9029

List of positive integer factors of 9029 that divides 9029 without a remainder.

1,9029

Greatest Common Factor

We found the factors and prime factorization of 9028 and 9029. The biggest common factor number is the GCF number.
So the greatest common factor 9028 and 9029 is 1.

Also check out the Least Common Multiple of 9028 and 9029

Properties of GCF 9028 and 9029

(i) The GCF of 9028 and 9029 is associative

GCF of 9028 and 9029 = GCF of 9029 and 9028

Related Greatest Common Factor of 9028

Related Greatest Common Factor of 9029

Frequently Asked Questions on GCF of 9028 and 9029

1. What is the GCF of 9028 and 9029?

Answer: GCF of 9028 and 9029 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 9029?

Answer: Factors of 9029 are 1, 9029. There are 2 integers that are factors of 9029. The greatest factor of 9029 is 9029.

4. How to Find the GCF of 9028 and 9029?

Answer:

Greatest Common Factor of 9028 and 9029 = 1

Step 1: Find the prime factorization of 9028

9028 = 2 x 2 x 37 x 61

Step 2: Find the prime factorization of 9029

9029 = 9029

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 9029 is 1