Greatest Common Factor of 2427 and 2428

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 2427, 2428 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2427 and 2428 is 1.

GCF(2427,2428) = 1

GCF of 2427 and 2428

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

GCF of:
and

Greatest Common Factor of 2427 and 2428

GCF of 2427 and 2428 is 1

Prime Factorization of 2427


3 2427
809 809
1

Prime factors of 2427 are 3,809. Prime factorization of 2427 in exponential form is:

2427 = 31×8091

Prime Factorization of 2428


2 2428
2 1214
607 607
1

Prime factors of 2428 are 2,607. Prime factorization of 2428 in exponential form is:

2428 = 22×6071

∴ So by taking common prime factors GCF of 2427 and 2428 is 1

Greatest Common Factor of 2427 and 2428 by matching factors method

Factors of 2427

List of positive integer factors of 2427 that divides 2427 without a remainder.

1,3,809,2427

Factors of 2428

List of positive integer factors of 2428 that divides 2428 without a remainder.

1,2,4,607,1214,2428

Greatest Common Factor

We found the factors and prime factorization of 2427 and 2428. The biggest common factor number is the GCF number.
So the greatest common factor 2427 and 2428 is 1.

Also check out the Least Common Multiple of 2427 and 2428

Properties of GCF 2427 and 2428

(i) The GCF of 2427 and 2428 is associative

GCF of 2427 and 2428 = GCF of 2428 and 2427

Frequently Asked Questions on GCF of 2427 and 2428

1. What is the GCF of 2427 and 2428?

Answer: GCF of 2427 and 2428 is 1.

2. What are the Factors of 2427?

Answer: Factors of 2427 are 1, 3, 809, 2427. There are 4 integers that are factors of 2427. The greatest factor of 2427 is 2427.

3. What are the Factors of 2428?

Answer: Factors of 2428 are 1, 2, 4, 607, 1214, 2428. There are 6 integers that are factors of 2428. The greatest factor of 2428 is 2428.

4. How to Find the GCF of 2427 and 2428?

Answer:

Greatest Common Factor of 2427 and 2428 = 1

Step 1: Find the prime factorization of 2427

2427 = 3 x 809

Step 2: Find the prime factorization of 2428

2428 = 2 x 2 x 607

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 2427 and 2428 is 1