Greatest Common Factor of 2428 and 2432

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 2428, 2432 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2428 and 2432 is 4.

GCF(2428,2432) = 4

GCF of 2428 and 2432

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

GCF of:
and

Greatest Common Factor of 2428 and 2432

GCF of 2428 and 2432 is 4

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

Prime Factorization of 2432


2 2432
2 1216
2 608
2 304
2 152
2 76
2 38
19 19
1

Prime factors of 2432 are 2,19. Prime factorization of 2432 in exponential form is:

2432 = 27×191

∴ So by taking common prime factors GCF of 2428 and 2432 is 4

Greatest Common Factor of 2428 and 2432 by matching factors method

Factors of 2428

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

1,2,4,607,1214,2428

Factors of 2432

List of positive integer factors of 2432 that divides 2432 without a remainder.

1,2,4,8,16,19,32,38,64,76,128,152,304,608,1216,2432

Greatest Common Factor

We found the factors and prime factorization of 2428 and 2432. The biggest common factor number is the GCF number.
So the greatest common factor 2428 and 2432 is 4.

Also check out the Least Common Multiple of 2428 and 2432

Properties of GCF 2428 and 2432

(i) The GCF of 2428 and 2432 is associative

GCF of 2428 and 2432 = GCF of 2432 and 2428

Related Greatest Common Factor of 2428

Related Greatest Common Factor of 2432

Frequently Asked Questions on GCF of 2428 and 2432

1. What is the GCF of 2428 and 2432?

Answer: GCF of 2428 and 2432 is 4.

2. 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.

3. What are the Factors of 2432?

Answer: Factors of 2432 are 1, 2, 4, 8, 16, 19, 32, 38, 64, 76, 128, 152, 304, 608, 1216, 2432. There are 16 integers that are factors of 2432. The greatest factor of 2432 is 2432.

4. How to Find the GCF of 2428 and 2432?

Answer:

Greatest Common Factor of 2428 and 2432 = 4

Step 1: Find the prime factorization of 2428

2428 = 2 x 2 x 607

Step 2: Find the prime factorization of 2432

2432 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 19

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 2428 and 2432 is 4