Greatest Common Factor of 20434 and 20442

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 20434, 20442 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 20434 and 20442 is 2.

GCF(20434,20442) = 2

GCF of 20434 and 20442

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

GCF of:
and

Greatest Common Factor of 20434 and 20442

GCF of 20434 and 20442 is 2

Prime Factorization of 20434


2 20434
17 10217
601 601
1

Prime factors of 20434 are 2,17,601. Prime factorization of 20434 in exponential form is:

20434 = 21×171×6011

Prime Factorization of 20442


2 20442
3 10221
3407 3407
1

Prime factors of 20442 are 2,3,3407. Prime factorization of 20442 in exponential form is:

20442 = 21×31×34071

∴ So by taking common prime factors GCF of 20434 and 20442 is 2

Greatest Common Factor of 20434 and 20442 by matching factors method

Factors of 20434

List of positive integer factors of 20434 that divides 20434 without a remainder.

1,2,17,34,601,1202,10217,20434

Factors of 20442

List of positive integer factors of 20442 that divides 20442 without a remainder.

1,2,3,6,3407,6814,10221,20442

Greatest Common Factor

We found the factors and prime factorization of 20434 and 20442. The biggest common factor number is the GCF number.
So the greatest common factor 20434 and 20442 is 2.

Also check out the Least Common Multiple of 20434 and 20442

Properties of GCF 20434 and 20442

(i) The GCF of 20434 and 20442 is associative

GCF of 20434 and 20442 = GCF of 20442 and 20434

Related Greatest Common Factor of 20434

Related Greatest Common Factor of 20442

Frequently Asked Questions on GCF of 20434 and 20442

1. What is the GCF of 20434 and 20442?

Answer: GCF of 20434 and 20442 is 2.

2. What are the Factors of 20434?

Answer: Factors of 20434 are 1, 2, 17, 34, 601, 1202, 10217, 20434. There are 8 integers that are factors of 20434. The greatest factor of 20434 is 20434.

3. What are the Factors of 20442?

Answer: Factors of 20442 are 1, 2, 3, 6, 3407, 6814, 10221, 20442. There are 8 integers that are factors of 20442. The greatest factor of 20442 is 20442.

4. How to Find the GCF of 20434 and 20442?

Answer:

Greatest Common Factor of 20434 and 20442 = 2

Step 1: Find the prime factorization of 20434

20434 = 2 x 17 x 601

Step 2: Find the prime factorization of 20442

20442 = 2 x 3 x 3407

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 20434 and 20442 is 2