Greatest Common Factor of 421 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 421, 428 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 421 and 428 is 1.

GCF(421,428) = 1

GCF of 421 and 428

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

GCF of:
and

Greatest Common Factor of 421 and 428

GCF of 421 and 428 is 1

Prime Factorization of 421


421 421
1

Prime factors of 421 are 421. Prime factorization of 421 in exponential form is:

421 = 4211

Prime Factorization of 428


2 428
2 214
107 107
1

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

428 = 22×1071

∴ So by taking common prime factors GCF of 421 and 428 is 1

Greatest Common Factor of 421 and 428 by matching factors method

Factors of 421

List of positive integer factors of 421 that divides 421 without a remainder.

1,421

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 421 and 428. The biggest common factor number is the GCF number.
So the greatest common factor 421 and 428 is 1.

Also check out the Least Common Multiple of 421 and 428

Properties of GCF 421 and 428

(i) The GCF of 421 and 428 is associative

GCF of 421 and 428 = GCF of 428 and 421

Related Greatest Common Factor of 421

Related Greatest Common Factor of 428

Frequently Asked Questions on GCF of 421 and 428

1. What is the GCF of 421 and 428?

Answer: GCF of 421 and 428 is 1.

2. What are the Factors of 421?

Answer: Factors of 421 are 1, 421. There are 2 integers that are factors of 421. The greatest factor of 421 is 421.

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 421 and 428?

Answer:

Greatest Common Factor of 421 and 428 = 1

Step 1: Find the prime factorization of 421

421 = 421

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 = = 1

Step 4: Therefore, the greatest common factor of 421 and 428 is 1