What is the Greatest Common Factor of 73306 and 73311?

Greatest common factor (GCF) of 73306 and 73311 is 1.

GCF(73306,73311) = 1

We will now calculate the prime factors of 73306 and 73311, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73306 and 73311.

How to find the GCF of 73306 and 73311?

We will first find the prime factorization of 73306 and 73311. After we will calculate the factors of 73306 and 73311 and find the biggest common factor number .

Step-1: Prime Factorization of 73306

Prime factors of 73306 are 2, 36653. Prime factorization of 73306 in exponential form is:

73306 = 2¹ × 36653¹

Step-2: Prime Factorization of 73311

Prime factors of 73311 are 3, 7, 3491. Prime factorization of 73311 in exponential form is:

73311 = 3¹ × 7¹ × 3491¹

Step-3: Factors of 73306

List of positive integer factors of 73306 that divides 73306 without a remainder.

1, 2, 36653

Step-4: Factors of 73311

List of positive integer factors of 73311 that divides 73306 without a remainder.

1, 3, 7, 21, 3491, 10473, 24437

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73306 and 73311. The biggest common factor number is the GCF number.
So the greatest common factor 73306 and 73311 is 1.

Also check out the Least Common Multiple of 73306 and 73311