Greatest Common Factor of 2425 and 2430

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 2425, 2430 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2425 and 2430 is 5.

GCF(2425,2430) = 5

GCF of 2425 and 2430

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

GCF of:
and

Greatest Common Factor of 2425 and 2430

GCF of 2425 and 2430 is 5

Prime Factorization of 2425


5 2425
5 485
97 97
1

Prime factors of 2425 are 5,97. Prime factorization of 2425 in exponential form is:

2425 = 52×971

Prime Factorization of 2430


2 2430
3 1215
3 405
3 135
3 45
3 15
5 5
1

Prime factors of 2430 are 2,3,5. Prime factorization of 2430 in exponential form is:

2430 = 21×35×51

∴ So by taking common prime factors GCF of 2425 and 2430 is 5

Greatest Common Factor of 2425 and 2430 by matching factors method

Factors of 2425

List of positive integer factors of 2425 that divides 2425 without a remainder.

1,5,25,97,485,2425

Factors of 2430

List of positive integer factors of 2430 that divides 2430 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,243,270,405,486,810,1215,2430

Greatest Common Factor

We found the factors and prime factorization of 2425 and 2430. The biggest common factor number is the GCF number.
So the greatest common factor 2425 and 2430 is 5.

Also check out the Least Common Multiple of 2425 and 2430

Properties of GCF 2425 and 2430

(i) The GCF of 2425 and 2430 is associative

GCF of 2425 and 2430 = GCF of 2430 and 2425

Related Greatest Common Factor of 2425

Related Greatest Common Factor of 2430

Frequently Asked Questions on GCF of 2425 and 2430

1. What is the GCF of 2425 and 2430?

Answer: GCF of 2425 and 2430 is 5.

2. What are the Factors of 2425?

Answer: Factors of 2425 are 1, 5, 25, 97, 485, 2425. There are 6 integers that are factors of 2425. The greatest factor of 2425 is 2425.

3. What are the Factors of 2430?

Answer: Factors of 2430 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 243, 270, 405, 486, 810, 1215, 2430. There are 24 integers that are factors of 2430. The greatest factor of 2430 is 2430.

4. How to Find the GCF of 2425 and 2430?

Answer:

Greatest Common Factor of 2425 and 2430 = 5

Step 1: Find the prime factorization of 2425

2425 = 5 x 5 x 97

Step 2: Find the prime factorization of 2430

2430 = 2 x 3 x 3 x 3 x 3 x 3 x 5

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 5

Step 4: Therefore, the greatest common factor of 2425 and 2430 is 5