What is the Greatest Common Factor of 73336 and 73349?

Greatest common factor (GCF) of 73336 and 73349 is 1.

GCF(73336,73349) = 1

We will now calculate the prime factors of 73336 and 73349, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73336 and 73349.

How to find the GCF of 73336 and 73349?

We will first find the prime factorization of 73336 and 73349. After we will calculate the factors of 73336 and 73349 and find the biggest common factor number .

Step-1: Prime Factorization of 73336

Prime factors of 73336 are 2, 89, 103. Prime factorization of 73336 in exponential form is:

73336 = 2³ × 89¹ × 103¹

Step-2: Prime Factorization of 73349

Prime factors of 73349 are 41, 1789. Prime factorization of 73349 in exponential form is:

73349 = 41¹ × 1789¹

Step-3: Factors of 73336

List of positive integer factors of 73336 that divides 73336 without a remainder.

1, 2, 4, 8, 89, 103, 178, 206, 356, 412, 712, 824, 9167, 18334, 36668

Step-4: Factors of 73349

List of positive integer factors of 73349 that divides 73336 without a remainder.

1, 41, 1789

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73336 and 73349. The biggest common factor number is the GCF number.
So the greatest common factor 73336 and 73349 is 1.

Also check out the Least Common Multiple of 73336 and 73349