What is the Greatest Common Factor of 37305 and 37322?

Greatest common factor (GCF) of 37305 and 37322 is 1.

GCF(37305,37322) = 1

We will now calculate the prime factors of 37305 and 37322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37305 and 37322.

How to find the GCF of 37305 and 37322?

We will first find the prime factorization of 37305 and 37322. After we will calculate the factors of 37305 and 37322 and find the biggest common factor number .

Step-1: Prime Factorization of 37305

Prime factors of 37305 are 3, 5, 829. Prime factorization of 37305 in exponential form is:

37305 = 3² × 5¹ × 829¹

Step-2: Prime Factorization of 37322

Prime factors of 37322 are 2, 18661. Prime factorization of 37322 in exponential form is:

37322 = 2¹ × 18661¹

Step-3: Factors of 37305

List of positive integer factors of 37305 that divides 37305 without a remainder.

1, 3, 5, 9, 15, 45, 829, 2487, 4145, 7461, 12435

Step-4: Factors of 37322

List of positive integer factors of 37322 that divides 37305 without a remainder.

1, 2, 18661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37305 and 37322. The biggest common factor number is the GCF number.
So the greatest common factor 37305 and 37322 is 1.

Also check out the Least Common Multiple of 37305 and 37322