What is the Greatest Common Factor of 73096 and 73104?

Greatest common factor (GCF) of 73096 and 73104 is 8.

GCF(73096,73104) = 8

We will now calculate the prime factors of 73096 and 73104, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73096 and 73104.

How to find the GCF of 73096 and 73104?

We will first find the prime factorization of 73096 and 73104. After we will calculate the factors of 73096 and 73104 and find the biggest common factor number .

Step-1: Prime Factorization of 73096

Prime factors of 73096 are 2, 9137. Prime factorization of 73096 in exponential form is:

73096 = 2³ × 9137¹

Step-2: 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-3: Factors of 73096

List of positive integer factors of 73096 that divides 73096 without a remainder.

1, 2, 4, 8, 9137, 18274, 36548

Step-4: Factors of 73104

List of positive integer factors of 73104 that divides 73096 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73096 and 73104. The biggest common factor number is the GCF number.
So the greatest common factor 73096 and 73104 is 8.

Also check out the Least Common Multiple of 73096 and 73104