Greatest Common Factor of 3428 and 3429

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 3428, 3429 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3428 and 3429 is 1.

GCF(3428,3429) = 1

GCF of 3428 and 3429

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

GCF of:
and

Greatest Common Factor of 3428 and 3429

GCF of 3428 and 3429 is 1

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

Prime Factorization of 3429


3 3429
3 1143
3 381
127 127
1

Prime factors of 3429 are 3,127. Prime factorization of 3429 in exponential form is:

3429 = 33×1271

∴ So by taking common prime factors GCF of 3428 and 3429 is 1

Greatest Common Factor of 3428 and 3429 by matching factors method

Factors of 3428

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

1,2,4,857,1714,3428

Factors of 3429

List of positive integer factors of 3429 that divides 3429 without a remainder.

1,3,9,27,127,381,1143,3429

Greatest Common Factor

We found the factors and prime factorization of 3428 and 3429. The biggest common factor number is the GCF number.
So the greatest common factor 3428 and 3429 is 1.

Also check out the Least Common Multiple of 3428 and 3429

Properties of GCF 3428 and 3429

(i) The GCF of 3428 and 3429 is associative

GCF of 3428 and 3429 = GCF of 3429 and 3428

Related Greatest Common Factor of 3428

Related Greatest Common Factor of 3429

Frequently Asked Questions on GCF of 3428 and 3429

1. What is the GCF of 3428 and 3429?

Answer: GCF of 3428 and 3429 is 1.

2. 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.

3. What are the Factors of 3429?

Answer: Factors of 3429 are 1, 3, 9, 27, 127, 381, 1143, 3429. There are 8 integers that are factors of 3429. The greatest factor of 3429 is 3429.

4. How to Find the GCF of 3428 and 3429?

Answer:

Greatest Common Factor of 3428 and 3429 = 1

Step 1: Find the prime factorization of 3428

3428 = 2 x 2 x 857

Step 2: Find the prime factorization of 3429

3429 = 3 x 3 x 3 x 127

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 3428 and 3429 is 1