What is the Greatest Common Factor of 48378 and 48396?

Greatest common factor (GCF) of 48378 and 48396 is 6.

GCF(48378,48396) = 6

We will now calculate the prime factors of 48378 and 48396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48378 and 48396.

How to find the GCF of 48378 and 48396?

We will first find the prime factorization of 48378 and 48396. After we will calculate the factors of 48378 and 48396 and find the biggest common factor number .

Step-1: Prime Factorization of 48378

Prime factors of 48378 are 2, 3, 11, 733. Prime factorization of 48378 in exponential form is:

48378 = 2¹ × 3¹ × 11¹ × 733¹

Step-2: Prime Factorization of 48396

Prime factors of 48396 are 2, 3, 37, 109. Prime factorization of 48396 in exponential form is:

48396 = 2² × 3¹ × 37¹ × 109¹

Step-3: Factors of 48378

List of positive integer factors of 48378 that divides 48378 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 733, 1466, 2199, 4398, 8063, 16126, 24189

Step-4: Factors of 48396

List of positive integer factors of 48396 that divides 48378 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 109, 111, 148, 218, 222, 327, 436, 444, 654, 1308, 4033, 8066, 12099, 16132, 24198

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48378 and 48396. The biggest common factor number is the GCF number.
So the greatest common factor 48378 and 48396 is 6.

Also check out the Least Common Multiple of 48378 and 48396