Greatest Common Factor of 3422 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 3422, 3429 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3422 and 3429 is 1.

GCF(3422,3429) = 1

GCF of 3422 and 3429

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

GCF of:
and

Greatest Common Factor of 3422 and 3429

GCF of 3422 and 3429 is 1

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 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 3422 and 3429 is 1

Greatest Common Factor of 3422 and 3429 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 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 3422 and 3429. The biggest common factor number is the GCF number.
So the greatest common factor 3422 and 3429 is 1.

Also check out the Least Common Multiple of 3422 and 3429

Properties of GCF 3422 and 3429

(i) The GCF of 3422 and 3429 is associative

GCF of 3422 and 3429 = GCF of 3429 and 3422

Related Greatest Common Factor of 3422

Related Greatest Common Factor of 3429

Frequently Asked Questions on GCF of 3422 and 3429

1. What is the GCF of 3422 and 3429?

Answer: GCF of 3422 and 3429 is 1.

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 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 3422 and 3429?

Answer:

Greatest Common Factor of 3422 and 3429 = 1

Step 1: Find the prime factorization of 3422

3422 = 2 x 29 x 59

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 3422 and 3429 is 1