Greatest Common Factor of 2465 and 2469

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 2465, 2469 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2465 and 2469 is 1.

GCF(2465,2469) = 1

GCF of 2465 and 2469

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

GCF of:
and

Greatest Common Factor of 2465 and 2469

GCF of 2465 and 2469 is 1

Prime Factorization of 2465


5 2465
17 493
29 29
1

Prime factors of 2465 are 5,17,29. Prime factorization of 2465 in exponential form is:

2465 = 51×171×291

Prime Factorization of 2469


3 2469
823 823
1

Prime factors of 2469 are 3,823. Prime factorization of 2469 in exponential form is:

2469 = 31×8231

∴ So by taking common prime factors GCF of 2465 and 2469 is 1

Greatest Common Factor of 2465 and 2469 by matching factors method

Factors of 2465

List of positive integer factors of 2465 that divides 2465 without a remainder.

1,5,17,29,85,145,493,2465

Factors of 2469

List of positive integer factors of 2469 that divides 2469 without a remainder.

1,3,823,2469

Greatest Common Factor

We found the factors and prime factorization of 2465 and 2469. The biggest common factor number is the GCF number.
So the greatest common factor 2465 and 2469 is 1.

Also check out the Least Common Multiple of 2465 and 2469

Properties of GCF 2465 and 2469

(i) The GCF of 2465 and 2469 is associative

GCF of 2465 and 2469 = GCF of 2469 and 2465

Related Greatest Common Factor of 2465

Related Greatest Common Factor of 2469

Frequently Asked Questions on GCF of 2465 and 2469

1. What is the GCF of 2465 and 2469?

Answer: GCF of 2465 and 2469 is 1.

2. What are the Factors of 2465?

Answer: Factors of 2465 are 1, 5, 17, 29, 85, 145, 493, 2465. There are 8 integers that are factors of 2465. The greatest factor of 2465 is 2465.

3. What are the Factors of 2469?

Answer: Factors of 2469 are 1, 3, 823, 2469. There are 4 integers that are factors of 2469. The greatest factor of 2469 is 2469.

4. How to Find the GCF of 2465 and 2469?

Answer:

Greatest Common Factor of 2465 and 2469 = 1

Step 1: Find the prime factorization of 2465

2465 = 5 x 17 x 29

Step 2: Find the prime factorization of 2469

2469 = 3 x 823

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 2465 and 2469 is 1