What is the Greatest Common Factor of 37873 and 37882?

Greatest common factor (GCF) of 37873 and 37882 is 1.

GCF(37873,37882) = 1

We will now calculate the prime factors of 37873 and 37882, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37873 and 37882.

How to find the GCF of 37873 and 37882?

We will first find the prime factorization of 37873 and 37882. After we will calculate the factors of 37873 and 37882 and find the biggest common factor number .

Step-1: Prime Factorization of 37873

Prime factors of 37873 are 11, 313. Prime factorization of 37873 in exponential form is:

37873 = 11² × 313¹

Step-2: Prime Factorization of 37882

Prime factors of 37882 are 2, 13, 31, 47. Prime factorization of 37882 in exponential form is:

37882 = 2¹ × 13¹ × 31¹ × 47¹

Step-3: Factors of 37873

List of positive integer factors of 37873 that divides 37873 without a remainder.

1, 11, 121, 313, 3443

Step-4: Factors of 37882

List of positive integer factors of 37882 that divides 37873 without a remainder.

1, 2, 13, 26, 31, 47, 62, 94, 403, 611, 806, 1222, 1457, 2914, 18941

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37873 and 37882. The biggest common factor number is the GCF number.
So the greatest common factor 37873 and 37882 is 1.

Also check out the Least Common Multiple of 37873 and 37882