Greatest Common Factor of 3422 and 3428

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 3422, 3428 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3422 and 3428 is 2.

GCF(3422,3428) = 2

GCF of 3422 and 3428

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

GCF of:
and

Greatest Common Factor of 3422 and 3428

GCF of 3422 and 3428 is 2

Prime Factorization of 3422


2 3422
29 1711
59 59
1

Prime factors of 3422 are 2,29,59. Prime factorization of 3422 in exponential form is:

3422 = 21×291×591

Prime Factorization of 3428


2 3428
2 1714
857 857
1

Prime factors of 3428 are 2,857. Prime factorization of 3428 in exponential form is:

3428 = 22×8571

∴ So by taking common prime factors GCF of 3422 and 3428 is 2

Greatest Common Factor of 3422 and 3428 by matching factors method

Factors of 3422

List of positive integer factors of 3422 that divides 3422 without a remainder.

1,2,29,58,59,118,1711,3422

Factors of 3428

List of positive integer factors of 3428 that divides 3428 without a remainder.

1,2,4,857,1714,3428

Greatest Common Factor

We found the factors and prime factorization of 3422 and 3428. The biggest common factor number is the GCF number.
So the greatest common factor 3422 and 3428 is 2.

Also check out the Least Common Multiple of 3422 and 3428

Properties of GCF 3422 and 3428

(i) The GCF of 3422 and 3428 is associative

GCF of 3422 and 3428 = GCF of 3428 and 3422

Related Greatest Common Factor of 3422

Related Greatest Common Factor of 3428

Frequently Asked Questions on GCF of 3422 and 3428

1. What is the GCF of 3422 and 3428?

Answer: GCF of 3422 and 3428 is 2.

2. What are the Factors of 3422?

Answer: Factors of 3422 are 1, 2, 29, 58, 59, 118, 1711, 3422. There are 8 integers that are factors of 3422. The greatest factor of 3422 is 3422.

3. What are the Factors of 3428?

Answer: Factors of 3428 are 1, 2, 4, 857, 1714, 3428. There are 6 integers that are factors of 3428. The greatest factor of 3428 is 3428.

4. How to Find the GCF of 3422 and 3428?

Answer:

Greatest Common Factor of 3422 and 3428 = 2

Step 1: Find the prime factorization of 3422

3422 = 2 x 29 x 59

Step 2: Find the prime factorization of 3428

3428 = 2 x 2 x 857

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 3422 and 3428 is 2