What is the Greatest Common Factor of 48456 and 48466?

Greatest common factor (GCF) of 48456 and 48466 is 2.

GCF(48456,48466) = 2

We will now calculate the prime factors of 48456 and 48466, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48456 and 48466.

How to find the GCF of 48456 and 48466?

We will first find the prime factorization of 48456 and 48466. After we will calculate the factors of 48456 and 48466 and find the biggest common factor number .

Step-1: Prime Factorization of 48456

Prime factors of 48456 are 2, 3, 673. Prime factorization of 48456 in exponential form is:

48456 = 2³ × 3² × 673¹

Step-2: Prime Factorization of 48466

Prime factors of 48466 are 2, 11, 2203. Prime factorization of 48466 in exponential form is:

48466 = 2¹ × 11¹ × 2203¹

Step-3: Factors of 48456

List of positive integer factors of 48456 that divides 48456 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 673, 1346, 2019, 2692, 4038, 5384, 6057, 8076, 12114, 16152, 24228

Step-4: Factors of 48466

List of positive integer factors of 48466 that divides 48456 without a remainder.

1, 2, 11, 22, 2203, 4406, 24233

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48456 and 48466. The biggest common factor number is the GCF number.
So the greatest common factor 48456 and 48466 is 2.

Also check out the Least Common Multiple of 48456 and 48466