What is the Greatest Common Factor of 73104 and 73116?

Greatest common factor (GCF) of 73104 and 73116 is 12.

GCF(73104,73116) = 12

We will now calculate the prime factors of 73104 and 73116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73104 and 73116.

How to find the GCF of 73104 and 73116?

We will first find the prime factorization of 73104 and 73116. After we will calculate the factors of 73104 and 73116 and find the biggest common factor number .

Step-1: Prime Factorization of 73104

Prime factors of 73104 are 2, 3, 1523. Prime factorization of 73104 in exponential form is:

73104 = 2⁴ × 3¹ × 1523¹

Step-2: Prime Factorization of 73116

Prime factors of 73116 are 2, 3, 677. Prime factorization of 73116 in exponential form is:

73116 = 2² × 3³ × 677¹

Step-3: Factors of 73104

List of positive integer factors of 73104 that divides 73104 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1523, 3046, 4569, 6092, 9138, 12184, 18276, 24368, 36552

Step-4: Factors of 73116

List of positive integer factors of 73116 that divides 73104 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 677, 1354, 2031, 2708, 4062, 6093, 8124, 12186, 18279, 24372, 36558

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73104 and 73116. The biggest common factor number is the GCF number.
So the greatest common factor 73104 and 73116 is 12.

Also check out the Least Common Multiple of 73104 and 73116