Greatest Common Factor of 424 and 428

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 424, 428 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 424 and 428 is 4.

GCF(424,428) = 4

GCF of 424 and 428

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

GCF of:
and

Greatest Common Factor of 424 and 428

GCF of 424 and 428 is 4

Prime Factorization of 424


2 424
2 212
2 106
53 53
1

Prime factors of 424 are 2,53. Prime factorization of 424 in exponential form is:

424 = 23×531

Prime Factorization of 428


2 428
2 214
107 107
1

Prime factors of 428 are 2,107. Prime factorization of 428 in exponential form is:

428 = 22×1071

∴ So by taking common prime factors GCF of 424 and 428 is 4

Greatest Common Factor of 424 and 428 by matching factors method

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Greatest Common Factor

We found the factors and prime factorization of 424 and 428. The biggest common factor number is the GCF number.
So the greatest common factor 424 and 428 is 4.

Also check out the Least Common Multiple of 424 and 428

Properties of GCF 424 and 428

(i) The GCF of 424 and 428 is associative

GCF of 424 and 428 = GCF of 428 and 424

Related Greatest Common Factor of 424

Related Greatest Common Factor of 428

Frequently Asked Questions on GCF of 424 and 428

1. What is the GCF of 424 and 428?

Answer: GCF of 424 and 428 is 4.

2. What are the Factors of 424?

Answer: Factors of 424 are 1, 2, 4, 8, 53, 106, 212, 424. There are 8 integers that are factors of 424. The greatest factor of 424 is 424.

3. What are the Factors of 428?

Answer: Factors of 428 are 1, 2, 4, 107, 214, 428. There are 6 integers that are factors of 428. The greatest factor of 428 is 428.

4. How to Find the GCF of 424 and 428?

Answer:

Greatest Common Factor of 424 and 428 = 4

Step 1: Find the prime factorization of 424

424 = 2 x 2 x 2 x 53

Step 2: Find the prime factorization of 428

428 = 2 x 2 x 107

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 424 and 428 is 4