What is the Greatest Common Factor of 48396 and 48402?

Greatest common factor (GCF) of 48396 and 48402 is 6.

GCF(48396,48402) = 6

We will now calculate the prime factors of 48396 and 48402, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48396 and 48402.

How to find the GCF of 48396 and 48402?

We will first find the prime factorization of 48396 and 48402. After we will calculate the factors of 48396 and 48402 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 48402

Prime factors of 48402 are 2, 3, 2689. Prime factorization of 48402 in exponential form is:

48402 = 2¹ × 3² × 2689¹

Step-3: Factors of 48396

List of positive integer factors of 48396 that divides 48396 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

Step-4: Factors of 48402

List of positive integer factors of 48402 that divides 48396 without a remainder.

1, 2, 3, 6, 9, 18, 2689, 5378, 8067, 16134, 24201

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48396 and 48402. The biggest common factor number is the GCF number.
So the greatest common factor 48396 and 48402 is 6.

Also check out the Least Common Multiple of 48396 and 48402