What is the Greatest Common Factor of 73896 and 73908?

Greatest common factor (GCF) of 73896 and 73908 is 12.

GCF(73896,73908) = 12

We will now calculate the prime factors of 73896 and 73908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73896 and 73908.

How to find the GCF of 73896 and 73908?

We will first find the prime factorization of 73896 and 73908. After we will calculate the factors of 73896 and 73908 and find the biggest common factor number .

Step-1: Prime Factorization of 73896

Prime factors of 73896 are 2, 3, 3079. Prime factorization of 73896 in exponential form is:

73896 = 2³ × 3¹ × 3079¹

Step-2: Prime Factorization of 73908

Prime factors of 73908 are 2, 3, 2053. Prime factorization of 73908 in exponential form is:

73908 = 2² × 3² × 2053¹

Step-3: Factors of 73896

List of positive integer factors of 73896 that divides 73896 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3079, 6158, 9237, 12316, 18474, 24632, 36948

Step-4: Factors of 73908

List of positive integer factors of 73908 that divides 73896 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2053, 4106, 6159, 8212, 12318, 18477, 24636, 36954

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73896 and 73908. The biggest common factor number is the GCF number.
So the greatest common factor 73896 and 73908 is 12.

Also check out the Least Common Multiple of 73896 and 73908