Greatest Common Factor of 2487 and 2489

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 2487, 2489 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2487 and 2489 is 1.

GCF(2487,2489) = 1

GCF of 2487 and 2489

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

GCF of:
and

Greatest Common Factor of 2487 and 2489

GCF of 2487 and 2489 is 1

Prime Factorization of 2487


3 2487
829 829
1

Prime factors of 2487 are 3,829. Prime factorization of 2487 in exponential form is:

2487 = 31×8291

Prime Factorization of 2489


19 2489
131 131
1

Prime factors of 2489 are 19,131. Prime factorization of 2489 in exponential form is:

2489 = 191×1311

∴ So by taking common prime factors GCF of 2487 and 2489 is 1

Greatest Common Factor of 2487 and 2489 by matching factors method

Factors of 2487

List of positive integer factors of 2487 that divides 2487 without a remainder.

1,3,829,2487

Factors of 2489

List of positive integer factors of 2489 that divides 2489 without a remainder.

1,19,131,2489

Greatest Common Factor

We found the factors and prime factorization of 2487 and 2489. The biggest common factor number is the GCF number.
So the greatest common factor 2487 and 2489 is 1.

Also check out the Least Common Multiple of 2487 and 2489

Properties of GCF 2487 and 2489

(i) The GCF of 2487 and 2489 is associative

GCF of 2487 and 2489 = GCF of 2489 and 2487

Related Greatest Common Factor of 2487

Related Greatest Common Factor of 2489

Frequently Asked Questions on GCF of 2487 and 2489

1. What is the GCF of 2487 and 2489?

Answer: GCF of 2487 and 2489 is 1.

2. What are the Factors of 2487?

Answer: Factors of 2487 are 1, 3, 829, 2487. There are 4 integers that are factors of 2487. The greatest factor of 2487 is 2487.

3. What are the Factors of 2489?

Answer: Factors of 2489 are 1, 19, 131, 2489. There are 4 integers that are factors of 2489. The greatest factor of 2489 is 2489.

4. How to Find the GCF of 2487 and 2489?

Answer:

Greatest Common Factor of 2487 and 2489 = 1

Step 1: Find the prime factorization of 2487

2487 = 3 x 829

Step 2: Find the prime factorization of 2489

2489 = 19 x 131

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 2487 and 2489 is 1