What is the Greatest Common Factor of 73104 and 73122?

Greatest common factor (GCF) of 73104 and 73122 is 6.

GCF(73104,73122) = 6

We will now calculate the prime factors of 73104 and 73122, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73104 and 73122.

How to find the GCF of 73104 and 73122?

We will first find the prime factorization of 73104 and 73122. After we will calculate the factors of 73104 and 73122 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 73122

Prime factors of 73122 are 2, 3, 7, 1741. Prime factorization of 73122 in exponential form is:

73122 = 2¹ × 3¹ × 7¹ × 1741¹

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 73122

List of positive integer factors of 73122 that divides 73104 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1741, 3482, 5223, 10446, 12187, 24374, 36561

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73104 and 73122. The biggest common factor number is the GCF number.
So the greatest common factor 73104 and 73122 is 6.

Also check out the Least Common Multiple of 73104 and 73122