Greatest Common Factor of 5450 and 5454

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 5450, 5454 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5450 and 5454 is 2.

GCF(5450,5454) = 2

GCF of 5450 and 5454

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

GCF of:
and

Greatest Common Factor of 5450 and 5454

GCF of 5450 and 5454 is 2

Prime Factorization of 5450


2 5450
5 2725
5 545
109 109
1

Prime factors of 5450 are 2,5,109. Prime factorization of 5450 in exponential form is:

5450 = 21×52×1091

Prime Factorization of 5454


2 5454
3 2727
3 909
3 303
101 101
1

Prime factors of 5454 are 2,3,101. Prime factorization of 5454 in exponential form is:

5454 = 21×33×1011

∴ So by taking common prime factors GCF of 5450 and 5454 is 2

Greatest Common Factor of 5450 and 5454 by matching factors method

Factors of 5450

List of positive integer factors of 5450 that divides 5450 without a remainder.

1,2,5,10,25,50,109,218,545,1090,2725,5450

Factors of 5454

List of positive integer factors of 5454 that divides 5454 without a remainder.

1,2,3,6,9,18,27,54,101,202,303,606,909,1818,2727,5454

Greatest Common Factor

We found the factors and prime factorization of 5450 and 5454. The biggest common factor number is the GCF number.
So the greatest common factor 5450 and 5454 is 2.

Also check out the Least Common Multiple of 5450 and 5454

Properties of GCF 5450 and 5454

(i) The GCF of 5450 and 5454 is associative

GCF of 5450 and 5454 = GCF of 5454 and 5450

Related Greatest Common Factor of 5450

Related Greatest Common Factor of 5454

Frequently Asked Questions on GCF of 5450 and 5454

1. What is the GCF of 5450 and 5454?

Answer: GCF of 5450 and 5454 is 2.

2. What are the Factors of 5450?

Answer: Factors of 5450 are 1, 2, 5, 10, 25, 50, 109, 218, 545, 1090, 2725, 5450. There are 12 integers that are factors of 5450. The greatest factor of 5450 is 5450.

3. What are the Factors of 5454?

Answer: Factors of 5454 are 1, 2, 3, 6, 9, 18, 27, 54, 101, 202, 303, 606, 909, 1818, 2727, 5454. There are 16 integers that are factors of 5454. The greatest factor of 5454 is 5454.

4. How to Find the GCF of 5450 and 5454?

Answer:

Greatest Common Factor of 5450 and 5454 = 2

Step 1: Find the prime factorization of 5450

5450 = 2 x 5 x 5 x 109

Step 2: Find the prime factorization of 5454

5454 = 2 x 3 x 3 x 3 x 101

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 5450 and 5454 is 2