Greatest Common Factor of 9014 and 9021

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 9014, 9021 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9014 and 9021 is 1.

GCF(9014,9021) = 1

GCF of 9014 and 9021

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

GCF of:
and

Greatest Common Factor of 9014 and 9021

GCF of 9014 and 9021 is 1

Prime Factorization of 9014


2 9014
4507 4507
1

Prime factors of 9014 are 2,4507. Prime factorization of 9014 in exponential form is:

9014 = 21×45071

Prime Factorization of 9021


3 9021
31 3007
97 97
1

Prime factors of 9021 are 3,31,97. Prime factorization of 9021 in exponential form is:

9021 = 31×311×971

∴ So by taking common prime factors GCF of 9014 and 9021 is 1

Greatest Common Factor of 9014 and 9021 by matching factors method

Factors of 9014

List of positive integer factors of 9014 that divides 9014 without a remainder.

1,2,4507,9014

Factors of 9021

List of positive integer factors of 9021 that divides 9021 without a remainder.

1,3,31,93,97,291,3007,9021

Greatest Common Factor

We found the factors and prime factorization of 9014 and 9021. The biggest common factor number is the GCF number.
So the greatest common factor 9014 and 9021 is 1.

Also check out the Least Common Multiple of 9014 and 9021

Properties of GCF 9014 and 9021

(i) The GCF of 9014 and 9021 is associative

GCF of 9014 and 9021 = GCF of 9021 and 9014

Related Greatest Common Factor of 9014

Related Greatest Common Factor of 9021

Frequently Asked Questions on GCF of 9014 and 9021

1. What is the GCF of 9014 and 9021?

Answer: GCF of 9014 and 9021 is 1.

2. What are the Factors of 9014?

Answer: Factors of 9014 are 1, 2, 4507, 9014. There are 4 integers that are factors of 9014. The greatest factor of 9014 is 9014.

3. What are the Factors of 9021?

Answer: Factors of 9021 are 1, 3, 31, 93, 97, 291, 3007, 9021. There are 8 integers that are factors of 9021. The greatest factor of 9021 is 9021.

4. How to Find the GCF of 9014 and 9021?

Answer:

Greatest Common Factor of 9014 and 9021 = 1

Step 1: Find the prime factorization of 9014

9014 = 2 x 4507

Step 2: Find the prime factorization of 9021

9021 = 3 x 31 x 97

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 9014 and 9021 is 1