Greatest Common Factor of 2489 and 2492

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, 2492 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2489 and 2492 is 1.

GCF(2489,2492) = 1

GCF of 2489 and 2492

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

GCF of:
and

Greatest Common Factor of 2489 and 2492

GCF of 2489 and 2492 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 2492


2 2492
2 1246
7 623
89 89
1

Prime factors of 2492 are 2,7,89. Prime factorization of 2492 in exponential form is:

2492 = 22×71×891

∴ So by taking common prime factors GCF of 2489 and 2492 is 1

Greatest Common Factor of 2489 and 2492 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 2492

List of positive integer factors of 2492 that divides 2492 without a remainder.

1,2,4,7,14,28,89,178,356,623,1246,2492

Greatest Common Factor

We found the factors and prime factorization of 2489 and 2492. The biggest common factor number is the GCF number.
So the greatest common factor 2489 and 2492 is 1.

Also check out the Least Common Multiple of 2489 and 2492

Properties of GCF 2489 and 2492

(i) The GCF of 2489 and 2492 is associative

GCF of 2489 and 2492 = GCF of 2492 and 2489

Related Greatest Common Factor of 2489

Related Greatest Common Factor of 2492

Frequently Asked Questions on GCF of 2489 and 2492

1. What is the GCF of 2489 and 2492?

Answer: GCF of 2489 and 2492 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 2492?

Answer: Factors of 2492 are 1, 2, 4, 7, 14, 28, 89, 178, 356, 623, 1246, 2492. There are 12 integers that are factors of 2492. The greatest factor of 2492 is 2492.

4. How to Find the GCF of 2489 and 2492?

Answer:

Greatest Common Factor of 2489 and 2492 = 1

Step 1: Find the prime factorization of 2489

2489 = 19 x 131

Step 2: Find the prime factorization of 2492

2492 = 2 x 2 x 7 x 89

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 2492 is 1