Greatest Common Factor of 5450 and 5457

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, 5457 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5450 and 5457 is 1.

GCF(5450,5457) = 1

GCF of 5450 and 5457

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

GCF of:
and

Greatest Common Factor of 5450 and 5457

GCF of 5450 and 5457 is 1

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 5457


3 5457
17 1819
107 107
1

Prime factors of 5457 are 3,17,107. Prime factorization of 5457 in exponential form is:

5457 = 31×171×1071

∴ So by taking common prime factors GCF of 5450 and 5457 is 1

Greatest Common Factor of 5450 and 5457 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 5457

List of positive integer factors of 5457 that divides 5457 without a remainder.

1,3,17,51,107,321,1819,5457

Greatest Common Factor

We found the factors and prime factorization of 5450 and 5457. The biggest common factor number is the GCF number.
So the greatest common factor 5450 and 5457 is 1.

Also check out the Least Common Multiple of 5450 and 5457

Properties of GCF 5450 and 5457

(i) The GCF of 5450 and 5457 is associative

GCF of 5450 and 5457 = GCF of 5457 and 5450

Related Greatest Common Factor of 5450

Related Greatest Common Factor of 5457

Frequently Asked Questions on GCF of 5450 and 5457

1. What is the GCF of 5450 and 5457?

Answer: GCF of 5450 and 5457 is 1.

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 5457?

Answer: Factors of 5457 are 1, 3, 17, 51, 107, 321, 1819, 5457. There are 8 integers that are factors of 5457. The greatest factor of 5457 is 5457.

4. How to Find the GCF of 5450 and 5457?

Answer:

Greatest Common Factor of 5450 and 5457 = 1

Step 1: Find the prime factorization of 5450

5450 = 2 x 5 x 5 x 109

Step 2: Find the prime factorization of 5457

5457 = 3 x 17 x 107

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 5450 and 5457 is 1