What is the Greatest Common Factor of 37328 and 37343?

Greatest common factor (GCF) of 37328 and 37343 is 1.

GCF(37328,37343) = 1

We will now calculate the prime factors of 37328 and 37343, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37328 and 37343.

How to find the GCF of 37328 and 37343?

We will first find the prime factorization of 37328 and 37343. After we will calculate the factors of 37328 and 37343 and find the biggest common factor number .

Step-1: Prime Factorization of 37328

Prime factors of 37328 are 2, 2333. Prime factorization of 37328 in exponential form is:

37328 = 2⁴ × 2333¹

Step-2: Prime Factorization of 37343

Prime factors of 37343 are 107, 349. Prime factorization of 37343 in exponential form is:

37343 = 107¹ × 349¹

Step-3: Factors of 37328

List of positive integer factors of 37328 that divides 37328 without a remainder.

1, 2, 4, 8, 16, 2333, 4666, 9332, 18664

Step-4: Factors of 37343

List of positive integer factors of 37343 that divides 37328 without a remainder.

1, 107, 349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37328 and 37343. The biggest common factor number is the GCF number.
So the greatest common factor 37328 and 37343 is 1.

Also check out the Least Common Multiple of 37328 and 37343