What is the Greatest Common Factor of 5450 and 5466?

Greatest common factor (GCF) of 5450 and 5466 is 2.

GCF(5450,5466) = 2

We will now calculate the prime factors of 5450 and 5466, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5450 and 5466.

How to find the GCF of 5450 and 5466?

We will first find the prime factorization of 5450 and 5466. After we will calculate the factors of 5450 and 5466 and find the biggest common factor number .

Step-1: Prime Factorization of 5450

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

5450 = 2¹ × 5² × 109¹

Step-2: Prime Factorization of 5466

Prime factors of 5466 are 2, 3, 911. Prime factorization of 5466 in exponential form is:

5466 = 2¹ × 3¹ × 911¹

Step-3: 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

Step-4: Factors of 5466

List of positive integer factors of 5466 that divides 5450 without a remainder.

1, 2, 3, 6, 911, 1822, 2733

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5450 and 5466. The biggest common factor number is the GCF number.
So the greatest common factor 5450 and 5466 is 2.

Also check out the Least Common Multiple of 5450 and 5466