Greatest Common Factor of 5422 and 5428

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 5422, 5428 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5422 and 5428 is 2.

GCF(5422,5428) = 2

GCF of 5422 and 5428

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

GCF of:
and

Greatest Common Factor of 5422 and 5428

GCF of 5422 and 5428 is 2

Prime Factorization of 5422


2 5422
2711 2711
1

Prime factors of 5422 are 2,2711. Prime factorization of 5422 in exponential form is:

5422 = 21×27111

Prime Factorization of 5428


2 5428
2 2714
23 1357
59 59
1

Prime factors of 5428 are 2,23,59. Prime factorization of 5428 in exponential form is:

5428 = 22×231×591

∴ So by taking common prime factors GCF of 5422 and 5428 is 2

Greatest Common Factor of 5422 and 5428 by matching factors method

Factors of 5422

List of positive integer factors of 5422 that divides 5422 without a remainder.

1,2,2711,5422

Factors of 5428

List of positive integer factors of 5428 that divides 5428 without a remainder.

1,2,4,23,46,59,92,118,236,1357,2714,5428

Greatest Common Factor

We found the factors and prime factorization of 5422 and 5428. The biggest common factor number is the GCF number.
So the greatest common factor 5422 and 5428 is 2.

Also check out the Least Common Multiple of 5422 and 5428

Properties of GCF 5422 and 5428

(i) The GCF of 5422 and 5428 is associative

GCF of 5422 and 5428 = GCF of 5428 and 5422

Related Greatest Common Factor of 5422

Related Greatest Common Factor of 5428

Frequently Asked Questions on GCF of 5422 and 5428

1. What is the GCF of 5422 and 5428?

Answer: GCF of 5422 and 5428 is 2.

2. What are the Factors of 5422?

Answer: Factors of 5422 are 1, 2, 2711, 5422. There are 4 integers that are factors of 5422. The greatest factor of 5422 is 5422.

3. What are the Factors of 5428?

Answer: Factors of 5428 are 1, 2, 4, 23, 46, 59, 92, 118, 236, 1357, 2714, 5428. There are 12 integers that are factors of 5428. The greatest factor of 5428 is 5428.

4. How to Find the GCF of 5422 and 5428?

Answer:

Greatest Common Factor of 5422 and 5428 = 2

Step 1: Find the prime factorization of 5422

5422 = 2 x 2711

Step 2: Find the prime factorization of 5428

5428 = 2 x 2 x 23 x 59

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

GCF = 2

Step 4: Therefore, the greatest common factor of 5422 and 5428 is 2