Greatest Common Factor of 2489 and 2490

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 2489, 2490 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2489 and 2490 is 1.

GCF(2489,2490) = 1

GCF of 2489 and 2490

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

GCF of:
and

Greatest Common Factor of 2489 and 2490

GCF of 2489 and 2490 is 1

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

Prime Factorization of 2490


2 2490
3 1245
5 415
83 83
1

Prime factors of 2490 are 2,3,5,83. Prime factorization of 2490 in exponential form is:

2490 = 21×31×51×831

∴ So by taking common prime factors GCF of 2489 and 2490 is 1

Greatest Common Factor of 2489 and 2490 by matching factors method

Factors of 2489

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

1,19,131,2489

Factors of 2490

List of positive integer factors of 2490 that divides 2490 without a remainder.

1,2,3,5,6,10,15,30,83,166,249,415,498,830,1245,2490

Greatest Common Factor

We found the factors and prime factorization of 2489 and 2490. The biggest common factor number is the GCF number.
So the greatest common factor 2489 and 2490 is 1.

Also check out the Least Common Multiple of 2489 and 2490

Properties of GCF 2489 and 2490

(i) The GCF of 2489 and 2490 is associative

GCF of 2489 and 2490 = GCF of 2490 and 2489

Frequently Asked Questions on GCF of 2489 and 2490

1. What is the GCF of 2489 and 2490?

Answer: GCF of 2489 and 2490 is 1.

2. 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.

3. What are the Factors of 2490?

Answer: Factors of 2490 are 1, 2, 3, 5, 6, 10, 15, 30, 83, 166, 249, 415, 498, 830, 1245, 2490. There are 16 integers that are factors of 2490. The greatest factor of 2490 is 2490.

4. How to Find the GCF of 2489 and 2490?

Answer:

Greatest Common Factor of 2489 and 2490 = 1

Step 1: Find the prime factorization of 2489

2489 = 19 x 131

Step 2: Find the prime factorization of 2490

2490 = 2 x 3 x 5 x 83

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 2489 and 2490 is 1