What is the Greatest Common Factor of 5466 and 5481?

Greatest common factor (GCF) of 5466 and 5481 is 3.

GCF(5466,5481) = 3

We will now calculate the prime factors of 5466 and 5481, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5466 and 5481.

How to find the GCF of 5466 and 5481?

We will first find the prime factorization of 5466 and 5481. After we will calculate the factors of 5466 and 5481 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 5481

Prime factors of 5481 are 3, 7, 29. Prime factorization of 5481 in exponential form is:

5481 = 3³ × 7¹ × 29¹

Step-3: Factors of 5466

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

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

Step-4: Factors of 5481

List of positive integer factors of 5481 that divides 5466 without a remainder.

1, 3, 7, 9, 21, 27, 29, 63, 87, 189, 203, 261, 609, 783, 1827

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5466 and 5481. The biggest common factor number is the GCF number.
So the greatest common factor 5466 and 5481 is 3.

Also check out the Least Common Multiple of 5466 and 5481