Greatest Common Factor of 7484 and 7489

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 7484, 7489 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7484 and 7489 is 1.

GCF(7484,7489) = 1

GCF of 7484 and 7489

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

GCF of:
and

Greatest Common Factor of 7484 and 7489

GCF of 7484 and 7489 is 1

Prime Factorization of 7484


2 7484
2 3742
1871 1871
1

Prime factors of 7484 are 2,1871. Prime factorization of 7484 in exponential form is:

7484 = 22×18711

Prime Factorization of 7489


7489 7489
1

Prime factors of 7489 are 7489. Prime factorization of 7489 in exponential form is:

7489 = 74891

∴ So by taking common prime factors GCF of 7484 and 7489 is 1

Greatest Common Factor of 7484 and 7489 by matching factors method

Factors of 7484

List of positive integer factors of 7484 that divides 7484 without a remainder.

1,2,4,1871,3742,7484

Factors of 7489

List of positive integer factors of 7489 that divides 7489 without a remainder.

1,7489

Greatest Common Factor

We found the factors and prime factorization of 7484 and 7489. The biggest common factor number is the GCF number.
So the greatest common factor 7484 and 7489 is 1.

Also check out the Least Common Multiple of 7484 and 7489

Properties of GCF 7484 and 7489

(i) The GCF of 7484 and 7489 is associative

GCF of 7484 and 7489 = GCF of 7489 and 7484

Related Greatest Common Factor of 7484

Related Greatest Common Factor of 7489

Frequently Asked Questions on GCF of 7484 and 7489

1. What is the GCF of 7484 and 7489?

Answer: GCF of 7484 and 7489 is 1.

2. What are the Factors of 7484?

Answer: Factors of 7484 are 1, 2, 4, 1871, 3742, 7484. There are 6 integers that are factors of 7484. The greatest factor of 7484 is 7484.

3. What are the Factors of 7489?

Answer: Factors of 7489 are 1, 7489. There are 2 integers that are factors of 7489. The greatest factor of 7489 is 7489.

4. How to Find the GCF of 7484 and 7489?

Answer:

Greatest Common Factor of 7484 and 7489 = 1

Step 1: Find the prime factorization of 7484

7484 = 2 x 2 x 1871

Step 2: Find the prime factorization of 7489

7489 = 7489

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 7484 and 7489 is 1