Greatest Common Factor of 2429 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 2429, 2430 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2429 and 2430 is 1.

GCF(2429,2430) = 1

GCF of 2429 and 2430

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

GCF of:
and

Greatest Common Factor of 2429 and 2430

GCF of 2429 and 2430 is 1

Prime Factorization of 2429


7 2429
347 347
1

Prime factors of 2429 are 7,347. Prime factorization of 2429 in exponential form is:

2429 = 71×3471

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 2429 and 2430 is 1

Greatest Common Factor of 2429 and 2430 by matching factors method

Factors of 2429

List of positive integer factors of 2429 that divides 2429 without a remainder.

1,7,347,2429

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 2429 and 2430. The biggest common factor number is the GCF number.
So the greatest common factor 2429 and 2430 is 1.

Also check out the Least Common Multiple of 2429 and 2430

Properties of GCF 2429 and 2430

(i) The GCF of 2429 and 2430 is associative

GCF of 2429 and 2430 = GCF of 2430 and 2429

Related Greatest Common Factor of 2429

Related Greatest Common Factor of 2430

Frequently Asked Questions on GCF of 2429 and 2430

1. What is the GCF of 2429 and 2430?

Answer: GCF of 2429 and 2430 is 1.

2. What are the Factors of 2429?

Answer: Factors of 2429 are 1, 7, 347, 2429. There are 4 integers that are factors of 2429. The greatest factor of 2429 is 2429.

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 2429 and 2430?

Answer:

Greatest Common Factor of 2429 and 2430 = 1

Step 1: Find the prime factorization of 2429

2429 = 7 x 347

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 = = 1

Step 4: Therefore, the greatest common factor of 2429 and 2430 is 1