What is the Greatest Common Factor of 48264 and 48284?

Greatest common factor (GCF) of 48264 and 48284 is 4.

GCF(48264,48284) = 4

We will now calculate the prime factors of 48264 and 48284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48264 and 48284.

How to find the GCF of 48264 and 48284?

We will first find the prime factorization of 48264 and 48284. After we will calculate the factors of 48264 and 48284 and find the biggest common factor number .

Step-1: Prime Factorization of 48264

Prime factors of 48264 are 2, 3, 2011. Prime factorization of 48264 in exponential form is:

48264 = 2³ × 3¹ × 2011¹

Step-2: Prime Factorization of 48284

Prime factors of 48284 are 2, 12071. Prime factorization of 48284 in exponential form is:

48284 = 2² × 12071¹

Step-3: Factors of 48264

List of positive integer factors of 48264 that divides 48264 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2011, 4022, 6033, 8044, 12066, 16088, 24132

Step-4: Factors of 48284

List of positive integer factors of 48284 that divides 48264 without a remainder.

1, 2, 4, 12071, 24142

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48264 and 48284. The biggest common factor number is the GCF number.
So the greatest common factor 48264 and 48284 is 4.

Also check out the Least Common Multiple of 48264 and 48284