Greatest Common Factor of 20450 and 20454

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, 20454 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 20450 and 20454 is 2.

GCF(20450,20454) = 2

GCF of 20450 and 20454

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

GCF of:
and

Greatest Common Factor of 20450 and 20454

GCF of 20450 and 20454 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 20454


2 20454
3 10227
7 3409
487 487
1

Prime factors of 20454 are 2,3,7,487. Prime factorization of 20454 in exponential form is:

20454 = 21×31×71×4871

∴ So by taking common prime factors GCF of 20450 and 20454 is 2

Greatest Common Factor of 20450 and 20454 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 20454

List of positive integer factors of 20454 that divides 20454 without a remainder.

1,2,3,6,7,14,21,42,487,974,1461,2922,3409,6818,10227,20454

Greatest Common Factor

We found the factors and prime factorization of 20450 and 20454. The biggest common factor number is the GCF number.
So the greatest common factor 20450 and 20454 is 2.

Also check out the Least Common Multiple of 20450 and 20454

Properties of GCF 20450 and 20454

(i) The GCF of 20450 and 20454 is associative

GCF of 20450 and 20454 = GCF of 20454 and 20450

Related Greatest Common Factor of 20450

Related Greatest Common Factor of 20454

Frequently Asked Questions on GCF of 20450 and 20454

1. What is the GCF of 20450 and 20454?

Answer: GCF of 20450 and 20454 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 20454?

Answer: Factors of 20454 are 1, 2, 3, 6, 7, 14, 21, 42, 487, 974, 1461, 2922, 3409, 6818, 10227, 20454. There are 16 integers that are factors of 20454. The greatest factor of 20454 is 20454.

4. How to Find the GCF of 20450 and 20454?

Answer:

Greatest Common Factor of 20450 and 20454 = 2

Step 1: Find the prime factorization of 20450

20450 = 2 x 5 x 5 x 409

Step 2: Find the prime factorization of 20454

20454 = 2 x 3 x 7 x 487

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 20454 is 2