Greatest Common Factor of 20450 and 20452

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 20450, 20452 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 20450 and 20452 is 2.

GCF(20450,20452) = 2

GCF of 20450 and 20452

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

GCF of:
and

Greatest Common Factor of 20450 and 20452

GCF of 20450 and 20452 is 2

Prime Factorization of 20450


2 20450
5 10225
5 2045
409 409
1

Prime factors of 20450 are 2,5,409. Prime factorization of 20450 in exponential form is:

20450 = 21×52×4091

Prime Factorization of 20452


2 20452
2 10226
5113 5113
1

Prime factors of 20452 are 2,5113. Prime factorization of 20452 in exponential form is:

20452 = 22×51131

∴ So by taking common prime factors GCF of 20450 and 20452 is 2

Greatest Common Factor of 20450 and 20452 by matching factors method

Factors of 20450

List of positive integer factors of 20450 that divides 20450 without a remainder.

1,2,5,10,25,50,409,818,2045,4090,10225,20450

Factors of 20452

List of positive integer factors of 20452 that divides 20452 without a remainder.

1,2,4,5113,10226,20452

Greatest Common Factor

We found the factors and prime factorization of 20450 and 20452. The biggest common factor number is the GCF number.
So the greatest common factor 20450 and 20452 is 2.

Also check out the Least Common Multiple of 20450 and 20452

Properties of GCF 20450 and 20452

(i) The GCF of 20450 and 20452 is associative

GCF of 20450 and 20452 = GCF of 20452 and 20450

Related Greatest Common Factor of 20450

Related Greatest Common Factor of 20452

Frequently Asked Questions on GCF of 20450 and 20452

1. What is the GCF of 20450 and 20452?

Answer: GCF of 20450 and 20452 is 2.

2. What are the Factors of 20450?

Answer: Factors of 20450 are 1, 2, 5, 10, 25, 50, 409, 818, 2045, 4090, 10225, 20450. There are 12 integers that are factors of 20450. The greatest factor of 20450 is 20450.

3. What are the Factors of 20452?

Answer: Factors of 20452 are 1, 2, 4, 5113, 10226, 20452. There are 6 integers that are factors of 20452. The greatest factor of 20452 is 20452.

4. How to Find the GCF of 20450 and 20452?

Answer:

Greatest Common Factor of 20450 and 20452 = 2

Step 1: Find the prime factorization of 20450

20450 = 2 x 5 x 5 x 409

Step 2: Find the prime factorization of 20452

20452 = 2 x 2 x 5113

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 20450 and 20452 is 2